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This video derives the binomial distribution and the probabilities associated with for the experiment of flipping a coin 5 times
This article gives a description of the Binomial Distribution. It has both graphic and functional forms of the cdf and pdf.
An applet which simulates a game of chance between the gambler of finite means and the bank, which cannot go bankrupt. Vary the starting amounts and the target amount to win.
Extensive discussion of the classic St. Petersburg paradox with numerous alternatives given to the classic formulation.
The classic St. Petersburg Paradox where the player receives $\(2^n\) if the coin lands heads on the \(n\)th toss. Mathematical explanation of the expected value is given.
This video lecture introduces joint, marginal, and conditional distributions. The example is for a discrete distribution, but captions describe how continuous distributions would work.
This is the home page for calculations and simulations on roulette bets.
This segment is part of the Virtual Labs in Probability and Statistics games of chance. The game and some bets are explained and the probabilities developed.
An explanation of the American Roulette game is given. The experiment consists of rolling a ball in a groove in the wheel; the ball eventually falls randomly into one of the 38 slots.
Starting point for people who need an explanation of the game and various hand categories. Example images of the categories of hands are given. Probabilities of the hands are calculated.

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