# Browse Classroom Capsules and Notes

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Displaying 41 - 50 of 70

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?

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.

A natural generalization of probability trees and hypergeomeric distributions is used to solve problems anti-intuitive to some.

Copulas can be employed in probability and mathematical statistics courses.

The authors describe the Hat Check and several other problems leading naturally to the number $e$.

Dropping the smallest or largest in a finite set of numbers does not necessarily lower the variance.

A Markov chain with 9 states is used to illustrate a technique for finding the fundamental matrix.

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.

The author discusses binomial distribution where $n$ is replaced by any positive number.