https://possiblywrong.wordpress.com/2026/08/03/using-ai-to-create-a-magic-trick/2026-08-03T22:07:02+00:00monthlyhttps://possiblywrong.wordpress.com/2026/06/28/alice-and-bob-on-two-pi-day/2026-06-28T13:04:16+00:00monthlyhttps://possiblywrong.wordpress.com/2026/05/18/comments-on-what-every-experimenter-must-know-about-randomization/https://possiblywrong.wordpress.com/wp-content/uploads/2026/04/balls_into_bins.pngballs_into_bins2026-05-18T15:38:15+00:00monthlyhttps://possiblywrong.wordpress.com/2026/02/24/analysis-of-biscuits-dice-game/https://possiblywrong.wordpress.com/wp-content/uploads/2026/02/biscuits.pngbiscuits2026-07-16T00:55:59+00:00monthlyhttps://possiblywrong.wordpress.com/2026/01/23/analysis-of-mastermind-like-bottle-match-game/https://possiblywrong.wordpress.com/wp-content/uploads/2026/01/color_match.pngcolor_match2026-05-20T16:35:56+00:00monthlyhttps://possiblywrong.wordpress.com/2025/12/13/riddler-solution-can-you-skillfully-ski-the-slopes/https://possiblywrong.wordpress.com/wp-content/uploads/2025/12/ski_pn-2.pngski_pnhttps://possiblywrong.wordpress.com/wp-content/uploads/2025/12/ski_pn-1.pngski_pnhttps://possiblywrong.wordpress.com/wp-content/uploads/2025/12/ski_pn.pngski_pnhttps://possiblywrong.wordpress.com/wp-content/uploads/2025/12/ski_p1.pngski_p12025-12-13T13:53:45+00:00monthlyhttps://possiblywrong.wordpress.com/2025/11/14/variants-of-fitch-cheneys-trick/2025-11-14T23:58:47+00:00monthlyhttps://possiblywrong.wordpress.com/2025/10/25/the-criminal-coupon-collector/2025-10-25T22:33:52+00:00monthlyhttps://possiblywrong.wordpress.com/2025/10/12/binomial-proportion-estimation-with-unknown-and-varying-number-of-trials/https://possiblywrong.wordpress.com/wp-content/uploads/2025/10/estimate_p.pngestimate_p2025-10-15T18:46:16+00:00monthlyhttps://possiblywrong.wordpress.com/2025/08/28/a-trick-taking-game/2025-10-05T22:23:37+00:00monthlyhttps://possiblywrong.wordpress.com/2025/07/18/fiddler-solution-can-you-hack-bowling/2025-07-18T00:39:36+00:00monthlyhttps://possiblywrong.wordpress.com/2025/06/26/a-maximally-inefficient-monte-carlo-estimate-of-pi/https://possiblywrong.wordpress.com/wp-content/uploads/2025/06/pi_buffon.pngpi_buffonhttps://possiblywrong.wordpress.com/wp-content/uploads/2025/06/pi_darts.pngpi_darts2025-06-30T11:30:22+00:00monthlyhttps://possiblywrong.wordpress.com/2025/05/13/how-shallow-is-the-cut-card-effect/https://possiblywrong.wordpress.com/wp-content/uploads/2025/05/image.pngimage2025-07-16T19:13:19+00:00monthlyhttps://possiblywrong.wordpress.com/2025/04/08/historical-probability-of-picking-a-perfect-bracket-1985-2025/https://possiblywrong.wordpress.com/wp-content/uploads/2025/04/ncaa_upsets_2025.pngncaa_upsets_2025https://possiblywrong.wordpress.com/wp-content/uploads/2025/04/ncaa_2025.pngncaa_20252025-04-08T10:39:50+00:00monthlyhttps://possiblywrong.wordpress.com/2025/02/20/expected-time-to-complete-a-wow-board-row-or-column/https://possiblywrong.wordpress.com/wp-content/uploads/2025/02/image-2.pngimagehttps://possiblywrong.wordpress.com/wp-content/uploads/2025/02/image-1.pngimagehttps://possiblywrong.wordpress.com/wp-content/uploads/2025/02/image.pngimage2025-02-20T22:39:58+00:00monthlyhttps://possiblywrong.wordpress.com/2024/12/30/optimal-strategy-maximizing-expected-value-for-splitting-pairs/2025-01-24T14:17:43+00:00monthlyhttps://possiblywrong.wordpress.com/2024/12/15/another-secret-santa-puzzle/2024-12-15T14:30:56+00:00monthlyhttps://possiblywrong.wordpress.com/2024/10/29/an-algorithm-incorrectness-proof/2024-10-29T16:55:02+00:00monthlyhttps://possiblywrong.wordpress.com/about/2025-06-28T21:03:02+00:00weekly0.6https://possiblywrong.wordpress.com/2024/09/04/analysis-of-adversarial-binary-search-game/https://possiblywrong.wordpress.com/wp-content/uploads/2024/09/ballmer_gukov.pngballmer_gukovhttps://possiblywrong.wordpress.com/wp-content/uploads/2024/09/binary_search_game.pngbinary_search_game2024-09-09T16:48:36+00:00monthlyhttps://possiblywrong.wordpress.com/2010/12/04/robot-simulator-and-turtle-graphics/https://possiblywrong.wordpress.com/wp-content/uploads/2010/12/circle_line.jpgcircle_lineIntersection of a circle and line segment.https://possiblywrong.wordpress.com/wp-content/uploads/2010/12/vturtle_maze.jpgvturtle_mazeThe vturtle robot wall-following through a maze.2024-08-07T19:23:54+00:00monthlyhttps://possiblywrong.wordpress.com/2010/11/27/a-robot-simulator-using-vpython/https://possiblywrong.wordpress.com/wp-content/uploads/2010/11/vturtle_zoom.jpgvturtle_zoomAnother view of the robot and its trail.https://possiblywrong.wordpress.com/wp-content/uploads/2010/11/vturtle_default.jpgvturtle_defaultExample using vturtle to draw a Koch snowflake.2024-08-07T19:22:55+00:00monthlyhttps://possiblywrong.wordpress.com/2024/08/07/robot-simulator-updated-to-vpython-7-6-5/https://possiblywrong.wordpress.com/wp-content/uploads/2024/08/vturtle_update_maze.pngvturtle_update_maze2024-08-07T19:10:40+00:00monthlyhttps://possiblywrong.wordpress.com/2024/07/16/another-whodunit-logic-puzzle/2024-07-18T17:39:51+00:00monthlyhttps://possiblywrong.wordpress.com/2014/02/14/when-approximate-is-better-than-exact/2024-07-06T13:58:50+00:00monthlyhttps://possiblywrong.wordpress.com/2024/06/11/strongly-solving-gobblet-gobblers-using-retrograde-analysis/2024-06-12T11:28:47+00:00monthlyhttps://possiblywrong.wordpress.com/2024/05/21/another-coin-flip-puzzle/2024-08-26T21:58:27+00:00monthlyhttps://possiblywrong.wordpress.com/2024/04/16/inverse-coupon-collectors-problem/2024-04-16T12:28:53+00:00monthlyhttps://possiblywrong.wordpress.com/2019/12/08/the-hot-hand/2024-03-19T17:45:18+00:00monthlyhttps://possiblywrong.wordpress.com/2024/03/12/lemonade-stand/https://possiblywrong.wordpress.com/wp-content/uploads/2024/03/lemonade.pnglemonade2024-03-28T17:51:12+00:00monthlyhttps://possiblywrong.wordpress.com/2023/12/26/analysis-of-left-center-right-dice-game/2024-01-16T20:12:07+00:00monthlyhttps://possiblywrong.wordpress.com/2024/01/16/exact-analysis-of-dreidel-game/https://possiblywrong.wordpress.com/wp-content/uploads/2024/01/dreidel_return.pngdreidel_returnhttps://possiblywrong.wordpress.com/wp-content/uploads/2024/01/dreidel_turns.pngdreidel_turns2024-01-16T20:09:28+00:00monthlyhttps://possiblywrong.wordpress.com/2023/10/27/counting-olympic-medal-podiums/2023-10-29T10:42:47+00:00monthlyhttps://possiblywrong.wordpress.com/2023/10/05/coupon-collectors-problem-variants-with-group-drawings/2023-12-04T15:01:34+00:00monthlyhttps://possiblywrong.wordpress.com/2023/09/28/angle-interval-intersection/https://possiblywrong.wordpress.com/wp-content/uploads/2023/09/angle_interval3.pngangle_interval3https://possiblywrong.wordpress.com/wp-content/uploads/2023/09/angle_interval2.pngangle_interval2https://possiblywrong.wordpress.com/wp-content/uploads/2023/09/angle_interval1.pngangle_interval12023-09-28T23:18:45+00:00monthlyhttps://possiblywrong.wordpress.com/2023/09/14/east-of-here/https://possiblywrong.wordpress.com/wp-content/uploads/2023/09/east_constant_heading.pngeast_constant_headinghttps://possiblywrong.wordpress.com/wp-content/uploads/2023/09/east.pngeast2023-09-14T14:13:34+00:00monthlyhttps://possiblywrong.wordpress.com/2014/01/04/computing-positions-and-eclipses-of-the-sun-and-moon/https://possiblywrong.wordpress.com/wp-content/uploads/2014/01/eclipse.gifeclipsePartial solar eclipse on 21 August 2017 as seen from my dad's house. Times are UTC. 2023-08-27T10:18:57+00:00monthlyhttps://possiblywrong.wordpress.com/2023/07/16/grid-search-puzzle/https://possiblywrong.wordpress.com/wp-content/uploads/2023/07/grid_search.pnggrid_search2023-07-17T11:53:46+00:00monthlyhttps://possiblywrong.wordpress.com/2022/07/07/analysis-of-horse-racing-board-game/https://possiblywrong.wordpress.com/wp-content/uploads/2022/07/scratch.pngscratchhttps://possiblywrong.wordpress.com/wp-content/uploads/2022/07/across_the_board.pngacross_the_board2025-11-15T21:52:36+00:00monthlyhttps://possiblywrong.wordpress.com/2023/06/22/the-pigeonhole-principle-the-converse-is-false/2023-06-22T19:53:55+00:00monthlyhttps://possiblywrong.wordpress.com/2023/05/26/playing-the-subtraction-game-with-gpt-4/2023-05-26T12:52:24+00:00monthlyhttps://possiblywrong.wordpress.com/2023/05/09/the-friendship-paradox-expectation-vs-probability/2023-05-10T19:07:02+00:00monthlyhttps://possiblywrong.wordpress.com/2023/04/05/historical-probability-of-picking-a-perfect-ncaa-bracket-1985-2023/https://possiblywrong.wordpress.com/wp-content/uploads/2023/04/ncaa_tournaments_2023.pngncaa_tournaments_20232023-04-05T18:01:22+00:00monthlyhttps://possiblywrong.wordpress.com/2023/03/23/the-hardest-polycube-packing-puzzle/https://possiblywrong.wordpress.com/wp-content/uploads/2023/03/polycube_max_r_over_s_pentacube.pngpolycube_max_r_over_s_pentacubehttps://possiblywrong.wordpress.com/wp-content/uploads/2023/03/polycube_max_r_over_s_hexacube.pngpolycube_max_r_over_s_hexacubehttps://possiblywrong.wordpress.com/wp-content/uploads/2023/03/polycube_puzzles.pngpolycube_puzzleshttps://possiblywrong.wordpress.com/wp-content/uploads/2023/03/polycube_max_s.pngpolycube_max_shttps://possiblywrong.wordpress.com/wp-content/uploads/2023/03/soma.pngsoma2024-10-22T16:03:17+00:00monthlyhttps://possiblywrong.wordpress.com/2022/10/17/a-wrong-solution-to-the-riddler-sock-matching-problem/2022-10-17T14:04:41+00:00monthlyhttps://possiblywrong.wordpress.com/2011/01/03/is-the-earth-like-a-billiard-ball-or-not/2022-12-21T22:16:36+00:00monthlyhttps://possiblywrong.wordpress.com/2015/07/07/floating-point-round-trips-revisited/2022-08-23T17:52:58+00:00monthlyhttps://possiblywrong.wordpress.com/2022/08/23/probabilities-in-one-card-nomination-whist/https://possiblywrong.wordpress.com/wp-content/uploads/2022/08/oh_hell_1.pngoh_hell_12022-08-23T21:23:54+00:00monthlyhttps://possiblywrong.wordpress.com/2022/07/18/counting-marked-dice/https://possiblywrong.wordpress.com/wp-content/uploads/2022/07/riddler_scored_dice_all.pngriddler_scored_dice_allhttps://possiblywrong.wordpress.com/wp-content/uploads/2022/07/riddler_scored_dice_example.pngriddler_scored_dice_example2022-07-18T20:23:54+00:00monthlyhttps://possiblywrong.wordpress.com/2017/02/26/anagrams/2022-06-11T15:25:31+00:00monthlyhttps://possiblywrong.wordpress.com/2016/11/02/distribution-and-variance-in-blackjack-part-2/https://possiblywrong.wordpress.com/wp-content/uploads/2016/10/var_vs_ev.pngvar_vs_evVariance vs. expected value of a unit wager, for fixed basic TDZ strategy (left) and optimal CDZ- strategy (right).https://possiblywrong.wordpress.com/wp-content/uploads/2016/10/est_ev_vs_round.pngest_ev_vs_roundEstimated expected value of a unit wager vs. round, for fixed basic TDZ strategy (red) and optimal CDZ- strategy (blue).https://possiblywrong.wordpress.com/wp-content/uploads/2016/10/dist_ev_vs_round.pngdist_ev_vs_roundExpected value of a unit wager vs. round, for fixed basic TDZ strategy (left) and CDZ- strategy optimized for the current depleted shoe (right).2024-09-26T20:03:21+00:00monthlyhttps://possiblywrong.wordpress.com/2016/10/19/distribution-and-variance-in-blackjack/https://possiblywrong.wordpress.com/wp-content/uploads/2016/10/blackjack_pdf.pngblackjack_pdfProbability distribution of player outcomes of a unit wager on a single round from a full shoe, using "mimic the dealer" strategy (red) vs. optimal strategy (blue).2022-06-11T15:20:36+00:00monthlyhttps://possiblywrong.wordpress.com/2012/09/29/blackjack-ca-optimization-as-a-steiner-tree-problem/https://possiblywrong.wordpress.com/wp-content/uploads/2012/09/steiner_full.pngsteiner_fullThe entire (likely sub-optimal) Steiner tree, with 2034 vertices, of which 1677 are required.https://possiblywrong.wordpress.com/wp-content/uploads/2012/09/steiner_sub.pngsteiner_subA "zoomed" view of the first two levels of the Steiner tree. Each vertex corresponds to a subset of drawn cards. Note that not all possible subsets appear in the tree (e.g., {2, 4}).2022-06-11T15:16:12+00:00monthlyhttps://possiblywrong.wordpress.com/2011/10/25/analysis-of-the-memory-game/https://possiblywrong.wordpress.com/wp-content/uploads/2011/10/memory.pngmemoryOptimal strategy for game states (n, k, 0, 0).2022-06-11T15:13:01+00:00monthlyhttps://possiblywrong.wordpress.com/2011/07/25/blackjack-and-pair-splitting/https://possiblywrong.wordpress.com/wp-content/uploads/2011/07/ev_pen1.pngev_penExpected return vs. shoe penetration.https://possiblywrong.wordpress.com/wp-content/uploads/2011/07/blackjack.pngblackjackScreenshot for blackjack game.2022-06-11T15:10:09+00:00monthlyhttps://possiblywrong.wordpress.com/2011/04/04/analysis-and-a-variant-of-the-premo-card-trick/https://possiblywrong.wordpress.com/wp-content/uploads/2011/04/premo.pngpremoProbability of success of variants of the Premo card trick.2022-06-11T15:06:52+00:00monthlyhttps://possiblywrong.wordpress.com/2011/02/13/card-puzzle-part-2/2022-06-11T15:04:20+00:00monthlyhttps://possiblywrong.wordpress.com/2022/05/21/rube-goldberg-monte-carlo/2022-05-31T13:21:04+00:00monthlyhttps://possiblywrong.wordpress.com/2019/04/06/follow-up-i-found-two-identical-packs-of-skittles-among-468-packs-with-a-total-of-27740-skittles/https://possiblywrong.wordpress.com/wp-content/uploads/2019/04/skittles_flavor.pngskittles_flavorAverage number of Skittles of each flavor in a pack. The assumed uniform average of 11.8547 Skittles of each color is shown by the black line.https://possiblywrong.wordpress.com/wp-content/uploads/2019/04/skittles_count_series.pngskittles_count_seriesNumber of Skittles per pack (total and of each color) vs. pack number.https://possiblywrong.wordpress.com/wp-content/uploads/2019/04/skittles_count.pngskittles_countHistogram of total number of Skittles in each pack. The mean of 59.2735 is shown in red.https://possiblywrong.wordpress.com/wp-content/uploads/2019/04/skittles_all.pngskittles_allAll 468 packs of Skittles, arranged top to bottom, in columns left to right. Each pair of columns corresponds to a box of 36 packs. The two identical packs are circled in red.https://possiblywrong.wordpress.com/wp-content/uploads/2019/04/skittles_defect.pngskittles_defectExample of a Skittles pack recorded with 15 green candies and a "defect."https://possiblywrong.wordpress.com/wp-content/uploads/2019/04/skittles_identical.pngskittles_identical2022-05-11T15:55:51+00:00monthlyhttps://possiblywrong.wordpress.com/2022/04/05/ncaa-tournaments-are-getting-measurably-wilder/2022-04-06T14:58:17+00:00monthlyhttps://possiblywrong.wordpress.com/2022/02/14/bresenhams-circles-are-always-optimal/2022-03-21T18:14:40+00:00monthlyhttps://possiblywrong.wordpress.com/2011/06/27/unlocking-boxes-a-prisoner-puzzle-variant/2022-03-13T13:03:16+00:00monthlyhttps://possiblywrong.wordpress.com/2011/07/02/representing-permutations/2022-03-13T13:02:16+00:00monthlyhttps://possiblywrong.wordpress.com/2014/10/21/calories-in-calories-out/https://possiblywrong.wordpress.com/wp-content/uploads/2014/10/excel_solver.pngexcel_solverExcel Solver dialog showing the desired settings to estimate alpha minimizing SSE.https://possiblywrong.wordpress.com/wp-content/uploads/2014/10/weight_alpha.pngweight_alphaEstimating burn rate (alpha) over time. Early estimates are overwhelmed by the noisy weight measurements.https://possiblywrong.wordpress.com/wp-content/uploads/2014/10/weight.pngPredicted and actual weightPredicted weight (blue) using recurrence relation, compared with actual weight (red), over 75 days.2022-02-24T23:33:31+00:00monthlyhttps://possiblywrong.wordpress.com/2022/01/22/string-art/2022-07-29T21:39:19+00:00monthlyhttps://possiblywrong.wordpress.com/2021/03/17/analysis-of-evil-hangman/2022-01-21T16:31:35+00:00monthlyhttps://possiblywrong.wordpress.com/2021/12/23/there-is-no-equilux/2022-01-21T16:30:47+00:00monthlyhttps://possiblywrong.wordpress.com/2010/05/31/pente-from-the-apple-to-today/2022-01-20T23:28:13+00:00monthlyhttps://possiblywrong.wordpress.com/2021/11/07/squid-game-expectation/2022-01-01T19:33:43+00:00monthlyhttps://possiblywrong.wordpress.com/2020/05/24/ambiguous-notation-for-logarithms/2021-11-20T16:29:38+00:00monthlyhttps://possiblywrong.wordpress.com/2021/09/13/code-name-generator/2021-09-14T11:41:42+00:00monthlyhttps://possiblywrong.wordpress.com/2021/02/27/an-updated-google-books-word-frequency-list/2021-09-11T20:02:33+00:00monthlyhttps://possiblywrong.wordpress.com/2021/08/03/expected-length-of-a-soccer-penalty-shootout/2021-08-03T17:14:54+00:00monthlyhttps://possiblywrong.wordpress.com/2021/06/30/counting-collisions/2021-07-01T11:37:29+00:00monthlyhttps://possiblywrong.wordpress.com/2021/05/10/beware-the-natural-quaternion/2022-01-02T23:04:24+00:00monthlyhttps://possiblywrong.wordpress.com/2015/04/23/ncaa-bracket-scoring-systems/https://possiblywrong.wordpress.com/wp-content/uploads/2015/04/ncaa_region.pngncaa_regionWinner of regional championship: actual frequency (blue) and predicted probability (red).https://possiblywrong.wordpress.com/wp-content/uploads/2015/04/ncaa_diff_2015.pngncaa_diff_2015Probability of winning as a function of seed difference: point estimate (blue), 95% confidence interval (black), and linear prediction model (red).2021-03-19T20:26:34+00:00monthlyhttps://possiblywrong.wordpress.com/2019/12/24/a-different-sock-matching-problem/2021-02-20T13:21:36+00:00monthlyhttps://possiblywrong.wordpress.com/2021/02/17/balanced-clock-hands/2021-02-17T23:16:44+00:00monthlyhttps://possiblywrong.wordpress.com/2021/01/28/what-is-the-probability-of-a-tie-vote/2021-02-01T04:58:50+00:00monthlyhttps://possiblywrong.wordpress.com/2010/12/26/why-multiple-checkout-lines-are-not-all-bad/2020-12-31T16:10:17+00:00monthlyhttps://possiblywrong.wordpress.com/2020/12/28/counting-edge-matching-puzzles/2020-12-28T18:55:37+00:00monthlyhttps://possiblywrong.wordpress.com/2020/12/10/the-fisher-yates-shuffle-is-backward/2025-01-16T05:15:34+00:00monthlyhttps://possiblywrong.wordpress.com/2020/11/21/among-us-morse-code-puzzle/2021-01-31T13:05:21+00:00monthlyhttps://possiblywrong.wordpress.com/2020/10/24/counting-hotel-key-cards/2020-10-25T13:13:56+00:00monthlyhttps://possiblywrong.wordpress.com/2020/09/07/giant-yahtzee/2020-10-13T15:13:45+00:00monthlyhttps://possiblywrong.wordpress.com/2020/09/19/exploiting-advantage-from-too-few-shuffles/https://possiblywrong.wordpress.com/wp-content/uploads/2020/09/war_new_deck_order.pngwar_new_deck_orderA "new deck order" of cards prior to shuffling for a game of War.2020-09-19T02:17:16+00:00monthlyhttps://possiblywrong.wordpress.com/2019/09/07/snap-card-game-probability/2020-09-04T12:18:10+00:00monthlyhttps://possiblywrong.wordpress.com/2020/08/02/matlabs-colon-operator-and-for-loops/2020-08-03T20:20:50+00:00monthlyhttps://possiblywrong.wordpress.com/2020/07/17/computing-the-angle-between-two-vectors/https://possiblywrong.wordpress.com/wp-content/uploads/2020/07/angle_error.pngangle_errorAbsolute error between computed and exact rounded double-precision angle, vs. true/exact angle.2020-07-17T15:04:18+00:00monthlyhttps://possiblywrong.wordpress.com/2020/05/20/sliding-rooks-and-queens/https://possiblywrong.wordpress.com/wp-content/uploads/2020/05/sliding-rooks-32.pngsliding-rooks-32The most difficult sliding rooks configuration, requiring 32 moves to reach.https://possiblywrong.wordpress.com/wp-content/uploads/2020/05/sliding-rooks.pngsliding-rooksStarting configuration (left) and goal configuration (right) of sliding rooks puzzle.2020-10-22T23:10:01+00:00monthlyhttps://possiblywrong.wordpress.com/2020/04/21/seven-riffle-shuffles-is-not-enough-except-when-it-is/https://possiblywrong.wordpress.com/wp-content/uploads/2020/04/riffle_stopping_time.pngriffle_stopping_timeDistribution of number of riffle shuffles needed to perfectly randomize a 52-card deck.https://possiblywrong.wordpress.com/wp-content/uploads/2020/04/new_age_solitaire.pngnew_age_solitaireProbability of Alice winning the New Age Solitaire game, vs. number of initial riffle shuffles.https://possiblywrong.wordpress.com/wp-content/uploads/2020/04/new_deck_order.pngnew_deck_orderNew deck order. (Card images Copyright 2011,2019 Chris Aguilar, licensed under LGPL 3.0.)2020-04-21T23:39:47+00:00monthlyhttps://possiblywrong.wordpress.com/2020/03/15/history-of-covid-19-cases/https://possiblywrong.wordpress.com/wp-content/uploads/2020/03/covid_per_million.pngcovid_per_millionCumulative confirmed cases per million in population over time, for each country with at least 2000 confirmed cases.https://possiblywrong.wordpress.com/wp-content/uploads/2020/03/covid.pngcovidCumulative confirmed cases vs. time, for each country currently having at least 2000 confirmed cases.2020-03-31T12:09:27+00:00monthlyhttps://possiblywrong.wordpress.com/2020/02/26/fair-dice-some-isohedra-are-less-fair-than-others/https://possiblywrong.wordpress.com/wp-content/uploads/2020/02/isohedra.pngisohedraIsohedra as classified on MathWorld, with six classes whose proper (rotational) symmetry groups do not act transitively on faces. Orbits are shown in red/green.2020-02-26T21:46:44+00:00monthlyhttps://possiblywrong.wordpress.com/2020/01/30/solving-the-2x2x2-rubiks-cube-revisited/https://possiblywrong.wordpress.com/wp-content/uploads/2020/01/rubik2_orientation_encoding.pngrubik2_orientation_encodingExample view of scrambled cube illustrating encoding of cubie orientations.https://possiblywrong.wordpress.com/wp-content/uploads/2020/01/rubik2_solved_labels.pngrubik2_solved_labelsCubicle tags (black) on the left and right faces of the cube, with cubie tags (gray).https://possiblywrong.wordpress.com/wp-content/uploads/2020/01/rubik2_axes.pngrubik2_axesThe solved cube, with three rotation axes, and cubies labeled 0 (hidden) through 7.2020-01-30T23:03:04+00:00monthlyhttps://possiblywrong.wordpress.com/2011/08/28/solving-the-2x2x2-rubiks-cube/https://possiblywrong.wordpress.com/wp-content/uploads/2011/08/rubik2.pngrubik2Scrambled 2x2x2 Rubik's cube.2020-01-27T23:09:57+00:00monthlyhttps://possiblywrong.wordpress.com/2011/01/15/yet-another-rubiks-cube/https://possiblywrong.wordpress.com/wp-content/uploads/2011/01/rubik.jpgrubikRubik's Cube with VPython.2020-01-27T23:06:13+00:00monthlyhttps://possiblywrong.wordpress.com/2012/05/20/how-goto-telescopes-work/2021-12-19T23:55:31+00:00monthlyhttps://possiblywrong.wordpress.com/2020/01/17/another-dice-puzzle/2020-01-18T15:45:06+00:00monthlyhttps://possiblywrong.wordpress.com/2020/01/06/tracking-a-card-through-a-shuffled-deck/https://possiblywrong.wordpress.com/wp-content/uploads/2020/01/shuffle_to_bottom.pngshuffle_to_bottomExpected number of shuffles to move a card to the bottom of a 52-card deck.2020-01-15T15:59:40+00:00monthlyhttps://possiblywrong.wordpress.com/2019/12/01/gamblers-fallacy-fallacy/2019-12-08T14:30:36+00:00monthlyhttps://possiblywrong.wordpress.com/2019/11/09/reproducing-randomness/2019-11-09T19:46:53+00:00monthlyhttps://possiblywrong.wordpress.com/2019/10/04/the-distribution-of-roll-and-keep-dice/2019-10-04T12:52:18+00:00monthlyhttps://possiblywrong.wordpress.com/2017/09/30/digits-of-pi-and-python-generators/2021-02-23T15:35:53+00:00monthlyhttps://possiblywrong.wordpress.com/2017/10/24/analysis-of-bingo/https://possiblywrong.wordpress.com/wp-content/uploads/2017/10/bingo_22.pngbingo_22The four possible cards in (2,2) Bingo.https://possiblywrong.wordpress.com/wp-content/uploads/2017/10/bingo_cdf.pngbingo_cdfCumulative probability distribution of a single-card bingo in at most the given number of draws.https://possiblywrong.wordpress.com/wp-content/uploads/2017/10/bingo.pngbingoExample of an American Bingo card.2020-11-02T01:12:30+00:00monthlyhttps://possiblywrong.wordpress.com/2018/10/14/disabling-subnormals-in-matlab/2019-09-21T13:39:44+00:00monthlyhttps://possiblywrong.wordpress.com/2018/11/30/random-drug-testing-in-the-nfl/2019-09-21T13:38:07+00:00monthlyhttps://possiblywrong.wordpress.com/2019/01/09/identical-packs-of-skittles/https://possiblywrong.wordpress.com/wp-content/uploads/2019/01/skittles_pdf.pngskittles_pdfDistribution of number of packs needed until encountering a first duplicate.https://possiblywrong.wordpress.com/wp-content/uploads/2019/01/skittles.pngskittlesTotal number of possible packs of Skittles, from "empty" to given maximum number of candies per pack.2020-04-05T14:07:02+00:00monthlyhttps://possiblywrong.wordpress.com/2019/06/08/a-potential-exploit-of-a-mountain-dew-promotion/https://possiblywrong.wordpress.com/wp-content/uploads/2019/06/mt_dew.pngmt_dewProbability distribution of net return from strategy of buying six-packs until collecting 5 complete sets, or 144 packs, whichever comes first.2019-09-21T13:31:00+00:00monthlyhttps://possiblywrong.wordpress.com/2019/08/16/poker-puzzle/2019-08-16T16:43:42+00:00monthlyhttps://possiblywrong.wordpress.com/2019/07/05/calling-java-from-matlab-with-pass-by-reference-arrays/2020-02-21T18:02:43+00:00monthlyhttps://possiblywrong.wordpress.com/2019/06/17/how-to-tell-time-using-gps-and-the-recent-collins-glitch/https://possiblywrong.wordpress.com/wp-content/uploads/2019/06/gps_leap.pnggps_leapLeap seconds added to UTC time since GPS epoch, with GPS epoch and 1024-week roll-overs shown in red.2019-06-18T11:50:23+00:00monthlyhttps://possiblywrong.wordpress.com/2019/05/12/tracking-heap-memory-use-in-windows/2019-05-13T22:54:34+00:00monthlyhttps://possiblywrong.wordpress.com/2010/10/02/cops-and-robbers/https://possiblywrong.wordpress.com/wp-content/uploads/2010/10/grid_diagonal.jpgFinal PuzzleInitial state of the final Sweeney Todd puzzle.2019-04-20T12:48:39+00:00monthlyhttps://possiblywrong.wordpress.com/2019/03/25/pretty-printing-a-single-elimination-tournament-bracket/https://possiblywrong.wordpress.com/wp-content/uploads/2019/03/bracket_mono.pngbracket_monoAnother fair bracket layout generated by several simple algorithms.https://possiblywrong.wordpress.com/wp-content/uploads/2019/03/bracket_ncaa.pngbracket_ncaaTypical layout of seeded 16-team single-elimination tournament bracket.2019-03-28T06:54:20+00:00monthlyhttps://possiblywrong.wordpress.com/2018/04/06/picking-a-perfect-ncaa-bracket-2018-was-the-most-unlikely-tournament-so-far/https://possiblywrong.wordpress.com/wp-content/uploads/2018/04/ncaa_bracket_probability.pngncaa_bracket_probabilityProbability of a perfect bracket, 1985-2018.https://possiblywrong.wordpress.com/wp-content/uploads/2018/04/ncaa_strength.pngncaa_strengthNormally-distributed strength s_i for each seed.2019-03-16T17:15:25+00:00monthlyhttps://possiblywrong.wordpress.com/2019/02/20/the-answer-is-always-none-of-the-above-or-below/2019-02-20T22:57:54+00:00monthlyhttps://possiblywrong.wordpress.com/2016/03/12/analysis-of-hexagonal-battleship/https://possiblywrong.wordpress.com/wp-content/uploads/2016/03/battleship_hex.pngbattleship_hexHexagonal Battleship grid for both players (Blue and Green), with islands (brown) and example deployment of Blue's ships (gray).https://possiblywrong.wordpress.com/wp-content/uploads/2016/03/battleship.pngbattleshipOriginal Battleship grid for a single player with example deployment of ships.2018-10-31T13:09:19+00:00monthlyhttps://possiblywrong.wordpress.com/2015/09/15/kanoodle-iq-fit-and-dancing-links/https://possiblywrong.wordpress.com/wp-content/uploads/2015/09/iq_fit_est.pngiq_fit_estMonte Carlo estimate of number of IQ Fit solutions (blue), with actual number of depth 10 terminal vertices (red), and actual number of solutions (green).https://possiblywrong.wordpress.com/wp-content/uploads/2015/09/kanoodle_est1.pngkanoodle_estMonte Carlo estimate of number of Kanoodle solutions (blue), with actual number of solutions (red).https://possiblywrong.wordpress.com/wp-content/uploads/2015/09/kanoodle_solution.pngkanoodle_solutionExample solution to Kanoodle puzzle.2021-06-13T11:42:59+00:00monthlyhttps://possiblywrong.wordpress.com/2018/10/31/generating-mini-crosswords/https://possiblywrong.wordpress.com/wp-content/uploads/2018/10/mini_crossword_6x6.pngmini_crossword_6x6(a) 6x6 mini-crossword, where the word in each row and column is unique. (b) 6x6 "word square," a symmetric grid with each row and corresonding column containing the same word.https://possiblywrong.wordpress.com/wp-content/uploads/2018/10/mini_crossword_5x5.pngmini_crossword_5x52019-04-22T18:13:31+00:00monthlyhttps://possiblywrong.wordpress.com/2018/09/02/arbitrary-precision-rational-arithmetic-in-c/https://possiblywrong.wordpress.com/wp-content/uploads/2018/09/tvd.pngtvdTotal variation distance vs. number of GSR riffle shuffles of a standard 52-card deck.2018-10-14T11:19:02+00:00monthlyhttps://possiblywrong.wordpress.com/2015/10/10/arbitrary-precision-integer-arithmetic-in-c/2018-10-14T02:22:45+00:00monthlyhttps://possiblywrong.wordpress.com/2018/09/22/a-lattice-path-puzzle/https://possiblywrong.wordpress.com/wp-content/uploads/2018/09/walk_2d.gifwalk_2dProbability distribution of endpoint of 2D lattice random walk, vs. number of steps.2018-09-22T17:05:56+00:00monthlyhttps://possiblywrong.wordpress.com/2016/08/24/serializing-matlab-data/2018-08-30T14:39:02+00:00monthlyhttps://possiblywrong.wordpress.com/2018/08/02/uncertainty-in-trading-passengers-for-fuel/https://possiblywrong.wordpress.com/wp-content/uploads/2018/08/passenger_weight.pngpassenger_weightDistribution of total weight of 175 passengers on a Southwest Boeing 737-800.2018-08-03T20:04:30+00:00monthlyhttps://possiblywrong.wordpress.com/2018/07/04/an-urn-puzzle/2018-07-05T12:13:18+00:00monthlyhttps://possiblywrong.wordpress.com/2018/06/16/on-average-we-die-a-decade-earlier-than-expected/https://possiblywrong.wordpress.com/wp-content/uploads/2018/06/life_table_e_x.pnglife_table_e_xConditional expected age at death and expected additional lifespan, vs. current age.https://possiblywrong.wordpress.com/wp-content/uploads/2018/06/life_table_pdf.pnglife_table_pdfProbability distribution of age at death based on the United States period life table for 2014.2018-08-26T09:46:25+00:00monthlyhttps://possiblywrong.wordpress.com/2013/07/24/probabilities-in-the-game-set/https://possiblywrong.wordpress.com/wp-content/uploads/2013/07/set.jpgset15 cards that do not contain a Set.2018-06-11T16:01:44+00:00monthlyhttps://possiblywrong.wordpress.com/2018/04/24/how-many-melodies-are-there/https://possiblywrong.wordpress.com/wp-content/uploads/2018/04/western_scale.pngwestern_scaleTwelve notes of the chromatic scale, and a thirteenth allowing melodies with an octave jump.https://possiblywrong.wordpress.com/wp-content/uploads/2018/04/melodies.pngmelodies2018-05-08T20:20:53+00:00monthlyhttps://possiblywrong.wordpress.com/2018/03/16/whodunit-logic-puzzle/2020-11-02T03:50:12+00:00monthlyhttps://possiblywrong.wordpress.com/2018/02/23/coupling-from-the-past/https://possiblywrong.wordpress.com/wp-content/uploads/2018/02/cftp_rand.pngcftp_randRandom draws in the order they are generated, vs. the order in which they are used in state transitions.2018-12-08T13:05:31+00:00monthlyhttps://possiblywrong.wordpress.com/2010/07/12/matters-of-death-and-life/2018-01-29T12:56:12+00:00monthlyhttps://possiblywrong.wordpress.com/2018/01/27/how-high-can-you-count-in-limited-space/https://possiblywrong.wordpress.com/wp-content/uploads/2018/01/count_von_count.pngcount_von_countHow high can you count (on the y-axis) spelling each number in words using at most the number of characters on the x-axis?2018-01-28T13:16:09+00:00monthlyhttps://possiblywrong.wordpress.com/2017/12/26/hilbert-halftone-art/https://possiblywrong.wordpress.com/wp-content/uploads/2017/12/lena_hilbert_halftone.pnglena_hilbert_halftoneBlack and white 1024-by-1024 image containing a single black Hilbert curve, one pixel in width.https://possiblywrong.wordpress.com/wp-content/uploads/2017/12/map_hilbert_halftone.pngmap_hilbert_halftoneConversion of 2x2-pixel image, with each of four gray levels mapped to corresponding 8x8 block of (approximated) Hilbert curve.https://possiblywrong.wordpress.com/wp-content/uploads/2017/12/lena_grayscale.pnglena_grayscaleConversion of original color image to 128x128 image with 3 gray levels (black, gray, white).2018-01-20T02:02:20+00:00monthlyhttps://possiblywrong.wordpress.com/2018/01/14/proofs-and-theorems-without-words/https://possiblywrong.wordpress.com/wp-content/uploads/2018/01/tiling64.pngtiling64https://possiblywrong.wordpress.com/wp-content/uploads/2018/01/ellipse.gifellipsehttps://possiblywrong.wordpress.com/wp-content/uploads/2018/01/tiling12_proof.pngtiling12_proofhttps://possiblywrong.wordpress.com/wp-content/uploads/2018/01/tiling12.pngtiling122018-01-14T17:23:58+00:00monthlyhttps://possiblywrong.wordpress.com/2017/12/04/probability-of-playable-racks-in-scrabble/https://possiblywrong.wordpress.com/wp-content/uploads/2017/12/min_subracks1.pngmin_subracksNumber of minimal playable subsets of tiles in inclusion order on the set of all playable words, restricted by length and/or frequency.https://possiblywrong.wordpress.com/wp-content/uploads/2017/12/p_playable.pngp_playableProbability that a random rack of 7 tiles is playable, containing a word in OTCWL 2014 restricted by length and/or frequency.2017-12-04T00:57:47+00:00monthlyhttps://possiblywrong.wordpress.com/2017/09/12/floating-point-agreement-between-matlab-and-c/https://possiblywrong.wordpress.com/wp-content/uploads/2017/09/atan2_ulp.pngatan2_ulpScatterplot of points where MATLAB/C++ differ in evaluation of atan2(y,x), using the same color coding as above.https://possiblywrong.wordpress.com/wp-content/uploads/2017/09/trig_ulp.pngtrig_ulpProbability of MATLAB/C++ differences in function evaluation for input randomly selected from the unit interval.2017-09-13T14:56:02+00:00monthlyhttps://possiblywrong.wordpress.com/2017/08/24/what-is-13/2017-09-06T21:50:22+00:00monthlyhttps://possiblywrong.wordpress.com/2017/07/24/the-following-are-equivalent/2017-07-26T17:27:09+00:00monthlyhttps://possiblywrong.wordpress.com/2017/06/24/dice-puzzle/2017-06-28T23:45:04+00:00monthlyhttps://possiblywrong.wordpress.com/2017/05/16/a-number-concatenation-problem/2017-06-16T12:21:20+00:00monthlyhttps://possiblywrong.wordpress.com/2017/05/06/cutting-crown-molding/https://possiblywrong.wordpress.com/wp-content/uploads/2017/05/crown_molding.pngcrown_moldingCutting crown molding for left-hand wall. Example shows an inside corner (w=90 degrees).2017-05-06T12:38:54+00:00monthlyhttps://possiblywrong.wordpress.com/2016/12/24/a-harder-birthday-problem/https://possiblywrong.wordpress.com/wp-content/uploads/2016/12/birthday.pngbirthdayProbability that at least (2,3,4,5) people share a birthday, vs. group size.2017-04-25T13:00:52+00:00monthlyhttps://possiblywrong.wordpress.com/2017/04/09/iterative-poohsticks/2017-04-11T01:20:32+00:00monthlyhttps://possiblywrong.wordpress.com/2015/03/22/time-management-in-distributed-simulation/https://possiblywrong.wordpress.com/wp-content/uploads/2015/03/hla_rti.pnghla_rtiSimulation federates interacting via centralized RTI. (Image created by Arichnad 2009, retrieved from http://en.wikipedia.org/wiki/File:RTI.svg)2017-04-08T17:56:35+00:00monthlyhttps://possiblywrong.wordpress.com/2017/03/19/horse-race-puzzle/https://possiblywrong.wordpress.com/wp-content/uploads/2017/03/race.pngraceProbability distribution of each horse winning, with each curve corresponding to a race length n from 1 to 6.2017-03-25T18:47:28+00:00monthlyhttps://possiblywrong.wordpress.com/2017/03/11/the-hardest-24-puzzles/https://possiblywrong.wordpress.com/wp-content/uploads/2017/03/pareto_24.pngpareto_24Probability of solvability vs. expected number of solutions.https://possiblywrong.wordpress.com/wp-content/uploads/2017/03/expected_24.pngexpected_24Expected number of solutions to a randomly selected puzzle, conditioned on the puzzle being solvable.https://possiblywrong.wordpress.com/wp-content/uploads/2017/03/probability_24.pngprobability_24Probability that a randomly selected puzzle is solvable vs. the target value (usually 24).2018-12-24T17:05:08+00:00monthlyhttps://possiblywrong.wordpress.com/2012/11/04/kinect-skeleton-tracking-with-visual-python/https://possiblywrong.wordpress.com/wp-content/uploads/2012/11/skeleton.pngskeletonThe 20 joints that make up a Kinect skeleton.https://possiblywrong.wordpress.com/wp-content/uploads/2012/11/vpykinect.pngvpykinectScreenshots of a Kinect skeleton (that's me!) facing the sensor. All images are rotated and/or zoomed views of the same still scene.2017-11-01T16:56:15+00:00monthlyhttps://possiblywrong.wordpress.com/2017/02/08/array-resizing-in-matlab/https://possiblywrong.wordpress.com/wp-content/uploads/2017/02/append_last1.pngappend_lasthttps://possiblywrong.wordpress.com/wp-content/uploads/2017/02/append_first.pngappend_firstExpanding an eventual 3x8 array in MATLAB along the first dimension, by assigning rows.2017-02-14T12:42:56+00:00monthlyhttps://possiblywrong.wordpress.com/2017/01/02/risk-of-gamblers-ruin/https://possiblywrong.wordpress.com/wp-content/uploads/2017/01/score_ror1.pngscore_rorWin rate vs. risk of ruin for various betting and playing strategies.2021-10-23T02:05:07+00:00monthlyhttps://possiblywrong.wordpress.com/2017/01/29/guess-the-number/2017-01-29T15:15:00+00:00monthlyhttps://possiblywrong.wordpress.com/2017/01/20/probability-of-a-scrabble-bingo/https://possiblywrong.wordpress.com/wp-content/uploads/2017/01/p_bingo1.pngp_bingoProbability that 7 randomly drawn tiles form a word, vs. dictionary size.https://possiblywrong.wordpress.com/wp-content/uploads/2017/01/scrabble7.pngscrabble7Scrabble 7-letter words ranked by frequency of occurrence in Google Books Ngrams data set.2020-04-28T15:50:00+00:00monthlyhttps://possiblywrong.wordpress.com/2013/09/15/efficiency-of-card-counting-in-blackjack-part-3/https://possiblywrong.wordpress.com/wp-content/uploads/2013/09/ev_gain_vs_hi_opt_2.pngev_gain_vs_hi_opt_2Expected gain from using optimal strategy, vs. expected return using full Hi-Opt II indices.https://possiblywrong.wordpress.com/wp-content/uploads/2013/09/ev_gain_vs_hi_lo.pngev_gain_vs_hi_loExpected gain from using optimal strategy, vs. expected return using full Hi-Lo indices.https://possiblywrong.wordpress.com/wp-content/uploads/2013/09/ev_gain_vs_hi_lo_i18.pngev_gain_vs_hi_lo_i18Expected gain from using optimal strategy, vs. expected return using Hi-Lo Illustrious 18 indices.https://possiblywrong.wordpress.com/wp-content/uploads/2013/09/ev_gain_vs_basic.pngev_gain_vs_basicExpected gain from using optimal strategy, vs. expected return from fixed, total-dependent basic strategy.2018-08-06T12:23:53+00:00monthlyhttps://possiblywrong.wordpress.com/2016/12/16/strong-induction/2016-12-21T14:14:19+00:00monthlyhttps://possiblywrong.wordpress.com/2016/12/05/how-many-dice/https://possiblywrong.wordpress.com/wp-content/uploads/2016/12/die.pngdieAn "unfolded" view of a standard d6.2016-12-05T14:48:16+00:00monthlyhttps://possiblywrong.wordpress.com/2013/09/07/password-protection-of-worksheets-in-excel/2016-12-03T00:46:55+00:00monthlyhttps://possiblywrong.wordpress.com/2016/08/02/ibm-research-ponder-this-august-2016-puzzle/2016-08-05T03:59:47+00:00monthlyhttps://possiblywrong.wordpress.com/2016/07/16/twisty-lattice-paths-all-alike/2016-07-17T17:00:54+00:00monthlyhttps://possiblywrong.wordpress.com/2016/07/15/rainbows/https://possiblywrong.wordpress.com/wp-content/uploads/2016/07/rainbow_3.pngrainbow_3https://possiblywrong.wordpress.com/wp-content/uploads/2016/07/rainbow_2.pngrainbow_2https://possiblywrong.wordpress.com/wp-content/uploads/2016/07/rainbow_1.pngrainbow_1https://possiblywrong.wordpress.com/wp-content/uploads/2016/07/rainbow_0.pngrainbow_02017-01-23T23:16:20+00:00monthlyhttps://possiblywrong.wordpress.com/2016/06/17/category-theory-without-categories/2016-06-19T13:26:02+00:00monthlyhttps://possiblywrong.wordpress.com/2016/05/14/sump-pump-monitoring-with-a-raspberry-pi/https://possiblywrong.wordpress.com/wp-content/uploads/2016/05/sump_voltage.pngsump_voltageOne hour of recorded voltage: raw 120 Hz input (green), filtered (red), with detected pump cycles (blue).https://possiblywrong.wordpress.com/wp-content/uploads/2016/05/sump_schematic.pngsump_schematicRaspberry Pi 3 monitoring DI-145 A/D converted voltage across eTape liquid level sensor.2016-05-14T18:57:15+00:00monthlyhttps://possiblywrong.wordpress.com/2016/04/13/ncaa-tournament-brackets-revisited/2016-04-13T23:14:28+00:00monthlyhttps://possiblywrong.wordpress.com/2016/02/25/home-field-advantage/https://possiblywrong.wordpress.com/wp-content/uploads/2016/02/world_series.pngworld_seriesDistribution of number of games played in a best-of-7 series with p=0.55, q=0.45.2016-02-25T23:11:35+00:00monthlyhttps://possiblywrong.wordpress.com/2014/04/18/allrgb-hilbert-curves-and-random-spanning-trees/https://possiblywrong.wordpress.com/wp-content/uploads/2014/04/allrgb_matrix.pngallrgb_matrixImages resulting from different choices of paths through image pixels and colors.https://possiblywrong.wordpress.com/wp-content/uploads/2014/04/allrgb_bfs_hilbert.pngallrgb_bfs_hilbertBreadth-first traversal of random spanning tree of pixels, assigning colors in Hilbert curve order.https://possiblywrong.wordpress.com/wp-content/uploads/2014/04/allrgb_hilbert_hilbert.pngallrgb_hilbert_hilbertallRGB image created by traversing image in 2D Hilbert curve order, assigning colors from the RGB cube in 3D Hilbert curve order.2016-07-14T01:40:12+00:00monthlyhttps://possiblywrong.wordpress.com/2016/01/17/secret-santa-solution-with-burritos/https://possiblywrong.wordpress.com/wp-content/uploads/2016/01/rook.pngrookBoard representing restricted positions for the burrito problem.2016-02-10T12:33:04+00:00monthlyhttps://possiblywrong.wordpress.com/2016/02/07/analysis-of-the-game-of-hipe/https://possiblywrong.wordpress.com/wp-content/uploads/2016/02/hipe3zoom.pnghipe3zoomSimilarly zoomed-in view of 3-letter HIPEs.https://possiblywrong.wordpress.com/wp-content/uploads/2016/02/hipe2zoom.pnghipe2zoomA zoomed-in view of the 2-letter HIPEs no more common than Winkler's examples.https://possiblywrong.wordpress.com/wp-content/uploads/2016/02/hipe2all.pnghipe2allAll digraphs with corresponding x=frequency of occurrence in the Google Books dataset and y=frequency of occurrence in the ENABLE+Scrabble word list. Winkler's example HIPEs are shown in red.2016-02-07T20:05:33+00:00monthlyhttps://possiblywrong.wordpress.com/2013/05/12/random-number-generation-in-simulink/https://possiblywrong.wordpress.com/wp-content/uploads/2013/05/minstd.pngminstdSingle random draws from the MINSTD generator for each state/seed from 1 to 100.https://possiblywrong.wordpress.com/wp-content/uploads/2013/05/mcg16807.pngmcg16807Output of Simulink random number generator, one draw for each initial seed 1 to 100.2016-01-08T17:41:26+00:00monthlyhttps://possiblywrong.wordpress.com/2013/04/07/analysis-of-farkle/https://possiblywrong.wordpress.com/wp-content/uploads/2013/04/farkle.pngfarkleProbability distribution of number of points in a turn. There is a long tail extending to 19,750 points, but scores exceeding 3000 points occur with probability less than 0.8%.2026-06-23T08:35:46+00:00monthlyhttps://possiblywrong.wordpress.com/2015/12/29/secret-santa-puzzle/2015-12-29T21:00:04+00:00monthlyhttps://possiblywrong.wordpress.com/2015/12/17/proofreading-as-mark-and-recapture/https://possiblywrong.wordpress.com/wp-content/uploads/2015/12/lincoln_petersen.pnglincoln_petersenDistribution of estimate of number of errors (N=15, p1=2/3, p2=4/5).2015-12-17T23:11:00+00:00monthlyhttps://possiblywrong.wordpress.com/2015/11/28/college-football-bowl-confidence-pools/https://possiblywrong.wordpress.com/wp-content/uploads/2015/11/bowl_p_win.pngbowl_p_winEstimated probability of winning pool against a "maximum expected points" entry with some number of "bought" games.https://possiblywrong.wordpress.com/wp-content/uploads/2015/11/bowl_p_favorite.pngbowl_p_favoriteEstimated probability of favored team winning each bowl game 2006-2014.https://possiblywrong.wordpress.com/wp-content/uploads/2015/11/bowl_spread.pngbowl_spreadPoint spreads for college football bowl games 2006-2014. The 38 games in 2014 exclude the final championship game from the 4-team playoff.2015-11-28T13:33:05+00:00monthlyhttps://possiblywrong.wordpress.com/2015/11/07/coin-flip-puzzle/2015-11-08T15:16:13+00:00monthlyhttps://possiblywrong.wordpress.com/2015/09/03/the-clueless-student-solution/2015-09-03T22:11:16+00:00monthlyhttps://possiblywrong.wordpress.com/2015/08/19/the-clueless-student/2017-01-29T17:31:33+00:00monthlyhttps://possiblywrong.wordpress.com/2013/08/15/efficiency-of-card-counting-in-blackjack-part-1/https://possiblywrong.wordpress.com/wp-content/uploads/2013/08/ev_pen_tdz.pngev_pen_tdzExpected return vs. penetration, using a fixed total-dependent strategy.2015-08-04T22:04:02+00:00monthlyhttps://possiblywrong.wordpress.com/2015/07/30/train-tracks-and-graph-theory/https://possiblywrong.wordpress.com/wp-content/uploads/2015/07/tracks_graph.pngtracks_graphThe corresponding graph, with each vertex (blue) representing a track piece, and each edge (green) representing an interlocking connection between pieces. The dashed yellow edge would complete the track/graph.https://possiblywrong.wordpress.com/wp-content/uploads/2015/07/tracks.pngtracksAn unfinished train track, with all available track pieces shown.2015-07-30T23:37:51+00:00monthlyhttps://possiblywrong.wordpress.com/2015/06/21/floating-point-round-trips/2015-06-22T01:17:07+00:00monthlyhttps://possiblywrong.wordpress.com/2015/05/18/the-fourth-best-for-the-job/2020-12-04T00:19:06+00:00monthlyhttps://possiblywrong.wordpress.com/2010/12/12/god-is-a-fitness-function/2015-04-20T15:50:38+00:00monthlyhttps://possiblywrong.wordpress.com/2010/10/30/teaching-when-no-one-is-watching/2015-04-20T15:43:51+00:00monthlyhttps://possiblywrong.wordpress.com/2015/04/05/hangman-scrabble-and-google-books/https://possiblywrong.wordpress.com/wp-content/uploads/2015/04/scrabble_density.pngscrabble_densityCumulative distribution of Scrabble-playable words among 1-grams (sorted by frequency).https://possiblywrong.wordpress.com/wp-content/uploads/2015/04/freq_1grams.pngfreq_1gramsDistribution of length of 1-grams, weighted by number of occurrences.https://possiblywrong.wordpress.com/wp-content/uploads/2015/04/count_1grams.pngcount_1gramsDistribution of lengths of distinct 1-grams in the Google Books corpus.https://possiblywrong.wordpress.com/wp-content/uploads/2015/04/count_words.pngcount_wordsDistribution of word length in the OTCWL2 and OSPD4 Scrabble dictionaries.2015-04-05T15:15:15+00:00monthlyhttps://possiblywrong.wordpress.com/2011/05/29/generalizing-fitch-cheneys-five-card-trick/https://possiblywrong.wordpress.com/wp-content/uploads/2011/05/fitch2.pngfitch2Cards presented to the magician.https://possiblywrong.wordpress.com/wp-content/uploads/2011/05/fitch1.pngfitch1Cards selected by the spectator.2015-03-14T14:38:39+00:00monthlyhttps://possiblywrong.wordpress.com/2015/02/20/analysis-of-chutes-and-ladders/https://possiblywrong.wordpress.com/wp-content/uploads/2015/02/chutes_expected.pngchutes_expectedExpected number of (additional) turns to finish game starting from the given square.https://possiblywrong.wordpress.com/wp-content/uploads/2015/02/chutes.pngchutesChutes and Ladders board layout. In some variants, the chute from 48 to 26 is from 47 to 26.2017-06-28T23:39:35+00:00monthlyhttps://possiblywrong.wordpress.com/2015/03/11/update-chutes-and-ladders-is-long-but-not-that-long/2015-03-11T18:28:17+00:00monthlyhttps://possiblywrong.wordpress.com/2012/07/28/security-of-the-android-pattern-lock/https://possiblywrong.wordpress.com/wp-content/uploads/2012/07/pattern_lock.pngpattern_lock(a) Pattern 104258. (b) Pattern 104257368. A pattern may pass over a dot more than once, but only its first "use" is considered part of the pattern.2015-02-26T13:56:59+00:00monthlyhttps://possiblywrong.wordpress.com/2015/02/08/searching-for-chocolates/2020-12-04T21:06:40+00:00monthlyhttps://possiblywrong.wordpress.com/2015/01/14/one-card-draw-poker/2015-01-14T20:22:51+00:00monthlyhttps://possiblywrong.wordpress.com/2015/01/01/calories-in-calories-out-revisited/https://possiblywrong.wordpress.com/wp-content/uploads/2015/01/calories.pngcaloriesDaily calorie intake over the same 136 days.https://possiblywrong.wordpress.com/wp-content/uploads/2015/01/weight2.pngweight2Predicted and actual measured weight over 136 days.2017-01-16T00:10:08+00:00monthlyhttps://possiblywrong.wordpress.com/2014/12/12/pick-any-two-cards/2014-12-12T20:23:16+00:00monthlyhttps://possiblywrong.wordpress.com/2014/12/01/card-shuffling-algorithms-good-and-bad/https://possiblywrong.wordpress.com/wp-content/uploads/2014/12/shuffle_naive.gifshuffle_naiveProbability distribution of permutations after successive naive shuffles.https://possiblywrong.wordpress.com/wp-content/uploads/2014/12/shuffle0.pngshuffle0Probability distribution of 5!=120 possible permutations after naive shuffle.https://possiblywrong.wordpress.com/wp-content/uploads/2014/12/shuffle2.gifshuffle2The same evolution of probability distributions, but with permutations grouped by parity.https://possiblywrong.wordpress.com/wp-content/uploads/2014/12/shuffle1.gifshuffle1Distribution of 5!=120 permutations after successive swaps of random pairs of cards.2016-08-15T16:59:21+00:00monthlyhttps://possiblywrong.wordpress.com/2014/11/08/probabilities-in-knockout-solution/https://possiblywrong.wordpress.com/wp-content/uploads/2014/11/knockout_4.pngknockout_4Probabilities of winning with 4 players, vs. p (with q=0.8).https://possiblywrong.wordpress.com/wp-content/uploads/2014/11/knockout_3.pngknockout_3Probabilities of winning with 3 players, vs. p (with q=0.8).https://possiblywrong.wordpress.com/wp-content/uploads/2014/11/knockout_2.pngknockout_2Probability of first player (red) and second player (blue) winning in two-player Knockout, vs. probability of making the initial shot from the free throw line.2014-11-09T16:28:11+00:00monthlyhttps://possiblywrong.wordpress.com/2014/10/31/probabilities-in-knockout/https://possiblywrong.wordpress.com/wp-content/uploads/2014/10/knockout_states.pngknockout_statesTransitions between game states in Knockout. The numbered player to shoot is shown in red.2014-10-31T15:52:03+00:00monthlyhttps://possiblywrong.wordpress.com/2014/10/09/no-diversity-does-not-generally-trump-ability/2014-10-24T17:17:53+00:00monthlyhttps://possiblywrong.wordpress.com/2014/10/05/the-discreet-hotel-manager/2015-01-12T13:04:22+00:00monthlyhttps://possiblywrong.wordpress.com/2014/09/18/probabilistic-tic-tac-toe-solution/https://possiblywrong.wordpress.com/wp-content/uploads/2014/09/p_tic_tac_toe_repeat.pngp_tic_tac_toe_repeatOn either player's turn, he or she must answer correctly to win; a miss is simply a lost turn.https://possiblywrong.wordpress.com/wp-content/uploads/2014/09/celebrity_squares.pngcelebrity_squaresFirst player's advantage vs. probability p of "success" of any given move.2014-09-18T22:05:14+00:00monthlyhttps://possiblywrong.wordpress.com/2014/09/13/probabilistic-tic-tac-toe/2014-09-13T02:52:57+00:00monthlyhttps://possiblywrong.wordpress.com/2014/08/29/solving-a-corn-maze/https://possiblywrong.wordpress.com/wp-content/uploads/2014/08/wumpus.pngwumpusA maze with 20 rooms and 30 connecting passages.2014-08-29T19:22:05+00:00monthlyhttps://possiblywrong.wordpress.com/2014/07/25/projectile-motion-puzzle/https://possiblywrong.wordpress.com/wp-content/uploads/2014/07/castle_wall.pngcastle_wallAt what angle should you throw an object to clear a wall 19 meters away and 11 meters high?2014-08-26T22:20:13+00:00monthlyhttps://possiblywrong.wordpress.com/2014/08/05/projectile-motion-puzzle-solution/2014-08-26T22:19:16+00:00monthlyhttps://possiblywrong.wordpress.com/2014/07/05/using-a-watch-or-a-stick-as-a-compass/https://possiblywrong.wordpress.com/wp-content/uploads/2014/07/compass_mn.gifcompass_MNAccuracy of the watch method (blue) and shadow-stick method (red) of direction-finding, over the course of the year 2014 in Lake of the Woods, Minnesota. The shadow-stick method is more accurate 40.6% of the time.https://possiblywrong.wordpress.com/wp-content/uploads/2014/07/compass_co.gifcompass_COAccuracy of the watch method (blue) and shadow-stick method (red) of direction-finding, over the course of the year 2014 in Durango, Colorado. The shadow-stick method is more accurate 57.3% of the time.https://possiblywrong.wordpress.com/wp-content/uploads/2014/07/compass_stick.pngcompass_stickIllustration of the shadow-stick method of direction-finding. With a stick placed vertically in the ground, the tip of the stick's shadow moves roughly from west to east.2025-11-20T15:48:24+00:00monthlyhttps://possiblywrong.wordpress.com/2010/06/12/remembering-martin-gardner/2020-10-09T16:35:55+00:00monthlyhttps://possiblywrong.wordpress.com/2014/06/27/the-price-is-right-puzzle-solution/https://possiblywrong.wordpress.com/wp-content/uploads/2014/06/price_is_right.pngprice_is_rightOptimal target score (red) and corresponding probability of winning (blue), vs. number of additional players.2014-06-27T14:13:35+00:00monthlyhttps://possiblywrong.wordpress.com/2014/06/14/the-price-is-right-sort-of/2014-06-14T18:42:20+00:00monthlyhttps://possiblywrong.wordpress.com/2014/05/31/reddits-comment-ranking-algorithm-revisited/https://possiblywrong.wordpress.com/wp-content/uploads/2014/05/beta.pngbetaProbability density of beta distribution with parameters (30+1,10+1).2022-11-06T13:56:14+00:00monthlyhttps://possiblywrong.wordpress.com/2014/05/07/a-coin-puzzle-revisited/https://possiblywrong.wordpress.com/wp-content/uploads/2014/05/coin_strategies.pngcoin_strategiesComparison of monotonic strategies as a function of probability of heads in a single coin flip. The frequentist MLE strategy is "5 or more," and the Bayesian strategy is "6 or more."2014-05-12T10:50:53+00:00monthlyhttps://possiblywrong.wordpress.com/2014/05/04/a-coin-puzzle/2014-05-07T19:49:24+00:00monthlyhttps://possiblywrong.wordpress.com/2014/03/20/pig-puzzle-solution/https://possiblywrong.wordpress.com/wp-content/uploads/2014/03/pig.pngpigOptimal mixed strategy for single-turn Pig.2014-03-20T22:40:12+00:00monthlyhttps://possiblywrong.wordpress.com/2014/03/01/puzzle-a-simple-dice-game/2014-03-02T18:22:33+00:00monthlyhttps://possiblywrong.wordpress.com/2014/01/24/the-odds-of-picking-a-perfect-ncaa-tournament-bracket/https://possiblywrong.wordpress.com/wp-content/uploads/2014/01/bracket_combined.pngbracket_combinedProbability of favored team winning vs. the difference in seeds. Historical data aggregated over all match-ups with the given seed difference, with 95% confidence intervals.https://possiblywrong.wordpress.com/wp-content/uploads/2014/01/bracket1.pngbracketProbability of higher (i.e., favored) seed i beating seed j, vs. the difference in seeds j-i. Historical data shown in blue, simple linear model shown in red.2014-01-24T16:46:31+00:00monthlyhttps://possiblywrong.wordpress.com/2013/12/27/another-card-puzzle/2014-01-29T23:55:26+00:00monthlyhttps://possiblywrong.wordpress.com/2013/12/07/an-optimal-stopping-card-game/2013-12-10T14:06:23+00:00monthlyhttps://possiblywrong.wordpress.com/2013/11/15/floating-point-equality-its-worse-than-you-think/2013-11-24T19:43:35+00:00monthlyhttps://possiblywrong.wordpress.com/2013/11/03/sudoku-solver/https://possiblywrong.wordpress.com/wp-content/uploads/2013/11/sudoku.pngsudokuThe "first" Sudoku puzzle.2013-11-03T16:44:50+00:00monthlyhttps://possiblywrong.wordpress.com/2013/10/06/cold-hit-dna-profiling/2013-10-06T16:16:09+00:00monthlyhttps://possiblywrong.wordpress.com/2013/08/22/efficiency-of-card-counting-in-blackjack-part-2/https://possiblywrong.wordpress.com/wp-content/uploads/2013/08/ev_tc_hi_lo.pngev_tc_hi_loExpected return vs. Hi-Lo true count, using fixed total-dependent basic strategy.2021-01-27T10:17:09+00:00monthlyhttps://possiblywrong.wordpress.com/2013/06/30/probability-puzzle-solution/2013-06-30T13:35:04+00:00monthlyhttps://possiblywrong.wordpress.com/2013/06/21/optimal-angle-on-a-swing/2013-06-21T20:23:43+00:00monthlyhttps://possiblywrong.wordpress.com/2013/06/01/probability-puzzle/2013-06-27T11:42:42+00:00monthlyhttps://possiblywrong.wordpress.com/2013/04/21/young-earth-creationism/2013-05-13T23:01:49+00:00monthlyhttps://possiblywrong.wordpress.com/2013/03/18/coincidences-in-random-shuffling-revisited/2013-03-18T02:14:43+00:00monthlyhttps://possiblywrong.wordpress.com/2013/03/01/puzzle-randomly-shuffling-songs-in-itunes/2013-03-01T14:00:46+00:00monthlyhttps://possiblywrong.wordpress.com/2013/02/10/visualizing-asteroid-2012-da14/https://possiblywrong.wordpress.com/wp-content/uploads/2013/02/da14.pngda14The asteroid's path compared with various satellite orbits. The asteroid itself is shown at 20,000 times its actual size ("only" about half a football field in diameter).2013-02-10T19:23:26+00:00monthlyhttps://possiblywrong.wordpress.com/2013/02/03/hunt-the-wumpus/2013-02-04T02:09:24+00:00monthlyhttps://possiblywrong.wordpress.com/2013/01/20/analysis-of-shut-the-box/2013-01-20T14:25:14+00:00monthlyhttps://possiblywrong.wordpress.com/2012/12/26/re-analysis-of-monopoly/https://possiblywrong.wordpress.com/wp-content/uploads/2012/12/monopoly_prop.pngmonopoly_prop(a) Frequency of landing on property color groups in the first 72 rolls. (b) Limiting frequencies based on steady-state distribution.https://possiblywrong.wordpress.com/wp-content/uploads/2012/12/monopoly_rolls.pngmonopoly_rollsDistribution of number of rolls needed to visit all properties in 2-player game. The mean (shown in red) is approximately 72 rolls.2013-11-21T23:58:39+00:00monthlyhttps://possiblywrong.wordpress.com/2012/12/02/the-canonical-pirate-puzzle/2012-12-02T22:04:17+00:00monthlyhttps://possiblywrong.wordpress.com/2012/11/17/if-the-earth-had-two-moons/https://possiblywrong.wordpress.com/wp-content/uploads/2012/11/tides_two.pngtides_twoDifferential tidal acceleration due to two "opposing" moons. The resulting vector field has approximately twice the magnitude of the field due to a single moon.https://possiblywrong.wordpress.com/wp-content/uploads/2012/11/tides_one.pngtides_oneDifferential tidal force at points on the surface of the Earth, due to the Moon's gravity. The sizes of the Earth and Moon are shown to scale, but the distance between them is not.2015-03-06T04:00:37+00:00monthlyhttps://possiblywrong.wordpress.com/2012/10/20/the-value-of-mathematics-revisited/2012-10-20T15:50:49+00:00monthlyhttps://possiblywrong.wordpress.com/2012/09/09/ant-in-the-desert/2012-12-06T14:00:48+00:00monthlyhttps://possiblywrong.wordpress.com/2012/08/25/hitting-a-golf-ball-on-the-moon-solution/https://possiblywrong.wordpress.com/wp-content/uploads/2012/08/golf_moon.pnggolf_moonIn the moving frame of the club face, the ball is launched at twice the loft angle of the club.2013-08-27T06:55:45+00:00monthlyhttps://possiblywrong.wordpress.com/2012/08/11/hitting-a-golf-ball-on-the-moon/2012-08-13T13:53:09+00:00monthlyhttps://possiblywrong.wordpress.com/2012/07/15/ibm-research-ponder-this-july-2012-puzzle/2012-07-15T11:03:36+00:00monthlyhttps://possiblywrong.wordpress.com/2012/06/29/wait-what/2013-10-11T17:40:08+00:00monthlyhttps://possiblywrong.wordpress.com/2012/06/16/python-on-android/2016-08-28T09:40:44+00:00monthlyhttps://possiblywrong.wordpress.com/2012/05/06/the-hunger-games-follow-up/https://possiblywrong.wordpress.com/wp-content/uploads/2012/05/hunger.pnghungerProbability that all 12 districts have a living male and female past victor, vs. the number of living victors.2012-05-06T12:25:19+00:00monthlyhttps://possiblywrong.wordpress.com/2012/04/22/more-mathematics-in-the-hunger-games/2012-09-26T12:21:09+00:00monthlyhttps://possiblywrong.wordpress.com/2012/04/15/its-turtles-all-the-way-down/2012-04-15T21:33:19+00:00monthlyhttps://possiblywrong.wordpress.com/2012/04/01/home-schooling-in-the-u-s/2012-04-01T14:07:00+00:00monthlyhttps://possiblywrong.wordpress.com/2012/03/11/why-fewer-decks-are-better-for-the-blackjack-player/https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/decks_gain_td_nobj.pngdecks_gain_td_nobjFigure 4. Gain in expected value (relative to an infinite shoe) vs. number of decks, for the normal game (in blue) and for the "blackjack-less" game played with fixed total-dependent strategy optimized for an infinite shoe (in red).https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/decks_gain_hit12_nobj.pngdecks_gain_hit12_nobjFigure 5. Gain in expected value (relative to an infinite shoe) vs. number of decks, for the normal game (in blue) and for the "blackjack-less" game played with a "don't bust" strategy (in red).https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/decks_gain_cd_nobj.pngdecks_gain_cd_nobjFigure 3. Gain in expected value (relative to an infinite shoe) vs. number of decks, for the normal game (in blue) and for the game with no blackjack bonuses or penalties (in red).https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/decks_const_dealer_nobj.pngdecks_const_dealer_nobjFigure 6. Gain in expected value (relative to an infinite shoe) vs. number of decks, for the normal game (in blue) and for the "blackjack-less" game with fixed probabilities of outcomes of the dealer's hand (in red).https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/decks_cd_nobj.pngdecks_cd_nobjFigure 2. Expected value vs. number of decks for the normal game (in blue) and for the game with no blackjack bonuses or penalties (in red).https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/decks_optimal.pngdecks_optimalFigure 1. Expected value in percent of initial wager vs. number of decks, assuming optimal composition-dependent (CDZ-) strategy. Rules are S17, DOA, DAS, SPL3 (no RSA), no surrender.2018-02-08T12:52:18+00:00monthlyhttps://possiblywrong.wordpress.com/2012/03/04/blackjack-and-number-of-decks/https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/cd_and_td.pngcd_and_tdExpected value using composition-dependent strategy (in blue) and total-dependent strategy (in red).https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/cd_exceptions.pngcd_exceptionsNumber of composition-dependent exceptions to total-dependent strategy, vs. number of decks.https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/cd_and_nobj.pngcd_and_nobjExpected value vs. number of decks for the normal game (in blue) and for the game without blackjack bonuses or penalties (in red).https://possiblywrong.wordpress.com/wp-content/uploads/2012/03/cd_ev_vs_decks.pngcd_ev_vs_decksExpected value (in percent of initial wager) vs. number of decks, using optimal (CDZ-) composition-dependent zero-memory strategy. Rules are S17, DOA, DAS, SPL3 (no RSA), no surrender.2013-02-02T14:35:53+00:00monthlyhttps://possiblywrong.wordpress.com/2012/02/05/the-alias-method-and-double-precision/2012-03-24T14:52:51+00:00monthlyhttps://possiblywrong.wordpress.com/2012/01/25/using-a-watch-as-a-compass/https://possiblywrong.wordpress.com/wp-content/uploads/2012/01/floridakeys.pngfloridakeysCompass error in the Florida Keys for the year 2012.https://possiblywrong.wordpress.com/wp-content/uploads/2012/01/lakeofthewoods.pnglakeofthewoodsCompass error in Lake of the Woods, MN, for the year 2012.https://possiblywrong.wordpress.com/wp-content/uploads/2012/01/timezones.pngtimezonesThe time zones in the contiguous 48 states.https://possiblywrong.wordpress.com/wp-content/uploads/2012/01/compass.pngcompassExample of using a watch as a compass (Northern Hemisphere, 10:30 am).2026-07-15T21:23:16+00:00monthlyhttps://possiblywrong.wordpress.com/2012/01/08/light-bulb-puzzle-solution/2020-12-01T20:00:10+00:00monthlyhttps://possiblywrong.wordpress.com/2012/01/02/dropping-light-bulbs-or-eggs-an-interview-puzzle-twist/2012-03-02T17:34:53+00:00monthlyhttps://possiblywrong.wordpress.com/2010/10/24/deranged-secret-santa/2011-12-05T20:47:15+00:00monthlyhttps://possiblywrong.wordpress.com/2011/12/05/secret-santa-revisited/https://possiblywrong.wordpress.com/wp-content/uploads/2011/12/santa.pngsantaProbabiilty that the last person draws his own name vs. group size.2024-12-21T09:07:24+00:00monthlyhttps://possiblywrong.wordpress.com/2011/11/27/holiday-puzzles/2011-12-05T00:32:22+00:00monthlyhttps://possiblywrong.wordpress.com/2011/11/12/the-ultimate-answer-to-the-ultimate-question/2011-11-13T17:40:10+00:00monthlyhttps://possiblywrong.wordpress.com/2011/11/05/polygon-puzzle/https://possiblywrong.wordpress.com/wp-content/uploads/2011/11/poly.pngpolyExample using 3 triangles and 2 squares.2012-07-29T22:57:12+00:00monthlyhttps://possiblywrong.wordpress.com/2011/10/09/use-your-head/2011-10-13T00:47:32+00:00monthlyhttps://possiblywrong.wordpress.com/2011/09/25/everything-is-possibly-wrong/2013-01-23T18:01:10+00:00monthlyhttps://possiblywrong.wordpress.com/2011/09/09/if-the-earth-were-a-cube/https://possiblywrong.wordpress.com/wp-content/uploads/2011/09/cube_earth.pngcube_earthThe Earth and a cube with the same volume.https://possiblywrong.wordpress.com/wp-content/uploads/2011/09/cube_gravity_center.pngcube_gravity_centerThe angle in degrees between the gravity vector and the vector to the center of the cube.https://possiblywrong.wordpress.com/wp-content/uploads/2011/09/cube_gravity_normal.pngcube_gravity_normalThe "steepness" of the perceived hill, or the angle in degrees between the gravity vector and the cube surface normal.https://possiblywrong.wordpress.com/wp-content/uploads/2011/09/cube_gravity.pngcube_gravityThe force of gravity on the cube surface, in Earth g's.2019-08-12T20:12:14+00:00monthlyhttps://possiblywrong.wordpress.com/2011/08/14/how-to-solve-it/2011-08-14T23:08:16+00:00monthlyhttps://possiblywrong.wordpress.com/2011/08/07/expectation-isnt-everything/https://possiblywrong.wordpress.com/wp-content/uploads/2011/08/lottery1.pnglotteryProbability of winning vs. number of tickets.2011-08-11T02:32:02+00:00monthlyhttps://possiblywrong.wordpress.com/2011/03/27/card-shuffling-youre-not-done-yet/2020-09-16T19:31:53+00:00monthlyhttps://possiblywrong.wordpress.com/2011/07/11/the-food-tastes-pretty-good-to-me/2011-07-11T20:35:36+00:00monthlyhttps://possiblywrong.wordpress.com/2011/06/05/reddits-comment-ranking-algorithm/2016-04-30T19:49:32+00:00monthlyhttps://possiblywrong.wordpress.com/2011/06/19/re-measuring-morton/2011-06-19T04:33:25+00:00monthlyhttps://possiblywrong.wordpress.com/2011/05/15/prisoner-puzzles/2011-05-15T20:12:48+00:00monthlyhttps://possiblywrong.wordpress.com/2011/05/07/a-prisoner-puzzle/2016-10-20T22:06:46+00:00monthlyhttps://possiblywrong.wordpress.com/2011/05/01/captchas-revisited/2011-05-15T20:31:32+00:00monthlyhttps://possiblywrong.wordpress.com/2011/04/18/calculating-days-of-the-week-in-your-head/2011-04-18T12:55:40+00:00monthlyhttps://possiblywrong.wordpress.com/2011/04/10/dont-have-faith-in-science/2011-04-10T17:03:37+00:00monthlyhttps://possiblywrong.wordpress.com/2011/03/20/was-the-moon-super-or-not/https://possiblywrong.wordpress.com/wp-content/uploads/2011/03/apparent_size.pngapparent_sizeHow 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