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This interactive resource allows the user to enter \(p\) and \(n\). It gives the probability distribution, graphs it, and can also calculate probabilities between two given values.
This article gives a description of the Binomial Distribution. It has both graphic and functional forms of the cdf and pdf.
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.
Extensive discussion of the classic St. Petersburg paradox with numerous alternatives given to the classic formulation.
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.
Concise statement of problem with clearly written proof of solution. Several nice examples with solutions are given. Applications to risk insurance and simple random walks included.
Simple, straightforward definition of the problem with a solution. No explanation of how the solution is found.