The Gambler's ruin

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Autor(es): dc.creatorPackel, Ed-
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Descrição: dc.descriptionThe gambler starts with an i unit stake and the casino or house starts with c units. They repeatedly play a game for which the gambler has a fixed probability p of winning and the winner gets 1 unit from the loser. Play continues until the gambler "succeeds" by acquiring i+c units or is "ruined" by dropping to 0 units. This Demonstration computes the probability that the gambler will succeed by breaking the bank. Subtracting this probability from 1 gives the gambler's ruin probability. The theoretical expected number of plays of the game until success or ruin is also computed and a simulation gives empirical results for the various parameter values. In the example shown in the thumbnail we use p=0.474, the player's probability of winning an "even money" bet in American roulette-
Descrição: dc.descriptionComponente Curricular::Ensino Médio::Matemática-
Idioma: dc.languageen-
Publicador: dc.publisherWolfram Demonstration Project-
Relação: dc.relationTheGamblersRuin.nbp-
Direitos: dc.rightsDemonstration freeware using Mathematica Player-
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Palavras-chave: dc.subjectProbability-
Palavras-chave: dc.subjectEducação Básica::Ensino Médio::Matemática::Análise de dados e probabilidade-
Título: dc.titleThe Gambler's ruin-
???dc.description3???: dc.description3This demonstration needs the "MathematicaPlayer.exe" to run. Found in
Aparece nas coleções:Repositório Institucional - MEC BIOE

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