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Monthly Archives: December 2016
A harder birthday problem
It is a wellknown nonintuitive result that in a group of people– conveniently the size of a classroom of students– the probability is at least 1/2 that or more of them share a birthday. This is a nice problem for several … Continue reading
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Strong induction
What is the best way to explain induction to a student? That is, given a trueorfalse statement involving a natural number , we would like to prove that the statement is true for all such . How does one prove such … Continue reading
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How many dice?
The figure below shows an “unfolded” view of a typical 6sided die (d6), used everywhere from board games to casinos: Each of the six faces is uniquely labeled with the integers 1 through 6. But that’s not all; note that … Continue reading
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