# Browse Classroom Capsules and Notes

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Displaying 61 - 70 of 70

The expected value and related probabilities about a game

Simple conditions on the joint density of two random variables that guarantee a negative correlation.

A clever use of probability to elicit responses to sensitive questions without revealing an individual's answer

It is shown that the number of $n$-strings that contain a $2$-streak involves the Fibonacci numbers, and that this can be generalized to $k$-streaks.

This article uses a generalization of a three-way gunfight to motivate the construction and solution to a first order linear system of difference equations.  The method of undetermined...

The classical Buffon needle problem is to find the probability that a needle of length $n$ when dropped on a floor made of boards of width $b$ will cross a crack between the boards.

Using a generalized Fibonacci sequence to determine the expected number of tosses of a fair coin to first obtain $n$ consecutive heads

A general version of the gambler's ruin problem is solved by elementary means.

The author describes an in-class experiment with strings being tied to form loops. The probability of the possible number of loops is examined.

Some probalistic examples, primarily in the game of bridge, not found in standard elementary texts, are discussed.