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Let's Make a Deal - official site which explains the game

Official "Let's Make a Deal" site. References to the Monty Hall problem in other popular media including movies, television shows, newspapers, and books are given.

Basic Probability, Conditional Probability, Probability, Famous Problems, Monty Hall

The Monty Hall Problem - explanation with links to applets

Concise explanation of Monty Hall problem with a written explanation of the solution.

Basic Probability, Conditional Probability, Famous Problems, Monty Hall

Conditional Probability and Independent Events

This is a short article on conditional probability that gives the definition, the multiplication rule, and Baye's theorem for two events.

Basic Probability, Conditional Probability

Bayes' Theorem

This is a short article on Bayes' theorem. The theorem is derived in the setting of a finite partition of the sample space.

Basic Probability, Conditional Probability

Law of Total Probability

This is a brief article on the law of total probability. The law is expressed in terms of a partition and in terms of a discrete random variable.

Basic Probability, Conditional Probability

Derangement - Hat check problem

A discussion of the derangement problem with links to demonstrations of the concept. The number in the derangements as the number of objects approaches infinity is shown to be equal to \(e\).

Famous Problems, Hat Check, Combinatorics

Match Experiment - Simulation for Hatcheck

\(n\) balls numbered 1 through \(n\) are randomly arranged. A match occurs when the ball number matches the position number. The number of matches is recorded.

Famous Problems, Hat Check, Combinatorics

The Matching Problem - Interactive Resource

Part of the Virtual Laboratories in Probability and Statistics. This link is to the extensive expository material which in turn links to associated applet material.

Famous Problems, Hat Check, Combinatorics

Poker - Simulation

Links to an interactive text with succinct explanations for probabilities for all nine possible five card poker hands.

Combinatorics, Games of Chance

Construction of Pascal's Triangle

This short article gives Pascal's triangle for generating binomial coefficients (based on the standard identity) as well as the Galton board.

Combinatorics