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Browse Classroom Capsules and Notes

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Displaying 51 - 60 of 70

A patient takes a medical test but only wants to hear from her doctor if the news is good. In this article, the author analyzes the probabilities associated with various notification methods....
The authors derive a symmetric formula for the hypergeometric distribution.
A Buffon Needle-type problem for a coin dropped onto a sectioned circle is analyzed.

A variation of the Hat Problem is discussed.

The authors give a "simple, conceptual" proof of the fact that the t-distribution converges to the standard normal. The proof is accessible to undergraduates.

The author applies basic probability theory to the papal election of 1458.

The author derives approximations for the probability arising in birthday-type problems without using calculus.

Probabilistic analysis of the importance of a game in a series of games in a competition

This article links two seemingly unrelated problems, one in probability and the other in dynamical systems, and shows they are actually one involving Fibonacci numbers.

A solution to a probabilistic Putnam Exam Problem is presented.