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Browse Classroom Capsules and Notes

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Displaying 41 - 50 of 70

The author shows a clever block stacking process for counting the total number of ways each possible sum can be rolled using three standard dice.

Allowing use of wild cards in poker can lead to unresolvable inconsistencies.

The game of Russian roulette is generalized to \(n\) players, each with a revolver.

A collection of cards, \(r\) with red faces \(b\) with black faces, are randomly laid face down in a row. What is the probability that \(t\) cards of the same color lie consecutively?

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

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 discusses an application of the Central Limit Theorem.

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

The expected waiting time for \(n\) successes and \(m\) failures in Bernoulli trials is calculated in two different, but complementary, ways.
A generalization of the classical hat-check problem is introduced and solved.