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Browse Classroom Capsules and Notes

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A variation of the Hat Problem is discussed.

A Buffon Needle-type problem for a coin dropped onto a sectioned circle is analyzed.
The authors derive a symmetric formula for the hypergeometric distribution.
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....
A generalization of the classical hat-check problem is introduced and solved.
The expected waiting time for \(n\) successes and \(m\) failures in Bernoulli trials is calculated in two different, but complementary, ways.

An old Dagwood cartoon introduces brief discussion of a simple problem involving random walks.

The author discusses an application of the Central Limit Theorem.

It is known that the probability that at least two persons in a group have the same birthday, when the birthday distribution is not uniform, is no less than the probability when the...

The author computes the probability of a variation of Buffon's needle problem with uniform angular spacing.