Betting until Ruin

Bernoulli Trials on the Roulette

Animated Table of Probabilities and Expectations

If the Gambler sets no limit to the number of bets, then, with probability one, the game will end with the Gambler's ruin or the House's ruin. However, it may take a considerable number of bets to reach that point. The following Applet animates the table of probabilities of the Gambler's ruin and at the same time displays the average number of bets it takes to end the game. To obtain the actual data you need only click at the appropriate point of the display.

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