Browse Classroom Capsules and Notes

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Streaks and Generalized Fibonacci Sequences

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.

A Tale of Two Tickets

Playslips in state lotteries are used to motivate calculation of probability.

A Painless Approach to Least Squares

Line of regression can be obtained using algebra and technique of minimizing a parabola.

A Geometric Series from Tennis

If the probability of a tennis player's winning a point is \(p\), what fraction of games should she win?

Pizza Combinatorics

Describes and solves combinatorial problems related to pizza toppings

A Normal Density Project

Explores the Gaussian normal density through polynomial approximations

A Note on Conditional Probabilities

The author discusses conditional probabilities and presents three simple hypotheses from which the classical definition of conditioning follows.