Add to ORKGThe 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...
In this note we consider the gambler's ruin problem with four players, and we compute the expected r...
The gambler’s fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chanc...
The Gambler’s Fallacy is a mistaken belief about sequences of random events. Observing, for example,...
The gambler starts with an i unit stake and the casino or house starts with c units. They repeatedly...
This note explores the mathematical theory to solve modern gambler’s ruin problems. We establish a ...
讨论了赌博问题中的最终破产概率,并给出了破产概率的随机模拟计算流程和一个具体例子的数值模拟结果.计算结果表明,由此方法得到破产概率的估计值与理论值的误差很小.最后,通过随机模拟给出游戏结束的平均次数....
The expected ruin time and the probabilities of ruin are found for the n-player gambler's ruin probl...
In the paper we derive a closed form formula for a probability of success in a roulette-type game. T...
International audienceIn the standard definition of the classical gambler's ruin game, a persistent ...
AbstractIn the paper we derive a closed form formula for a probability of success in a roulette-type...
AbstractLet prize X in a game be a random variable with a cumulative distribution function F, E[X] ≠...
AbstractFormulas for the expected ruin time and the individual ruin probabilities are found for the ...
à paraîtreInternational audienceIn this paper we consider a particular class of problems called mult...
Gambles in casinos are usually set up so that the casino makes a profit in expectation—as long as ga...
Abstract: In the game ‘6 out of 45 ’ the gambler has to guess 6 different numbers out of 45. These g...
In this note we consider the gambler's ruin problem with four players, and we compute the expected r...
The gambler’s fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chanc...
The Gambler’s Fallacy is a mistaken belief about sequences of random events. Observing, for example,...
The gambler starts with an i unit stake and the casino or house starts with c units. They repeatedly...
This note explores the mathematical theory to solve modern gambler’s ruin problems. We establish a ...
讨论了赌博问题中的最终破产概率,并给出了破产概率的随机模拟计算流程和一个具体例子的数值模拟结果.计算结果表明,由此方法得到破产概率的估计值与理论值的误差很小.最后,通过随机模拟给出游戏结束的平均次数....
The expected ruin time and the probabilities of ruin are found for the n-player gambler's ruin probl...
In the paper we derive a closed form formula for a probability of success in a roulette-type game. T...
International audienceIn the standard definition of the classical gambler's ruin game, a persistent ...
AbstractIn the paper we derive a closed form formula for a probability of success in a roulette-type...
AbstractLet prize X in a game be a random variable with a cumulative distribution function F, E[X] ≠...
AbstractFormulas for the expected ruin time and the individual ruin probabilities are found for the ...
à paraîtreInternational audienceIn this paper we consider a particular class of problems called mult...
Gambles in casinos are usually set up so that the casino makes a profit in expectation—as long as ga...
Abstract: In the game ‘6 out of 45 ’ the gambler has to guess 6 different numbers out of 45. These g...
In this note we consider the gambler's ruin problem with four players, and we compute the expected r...
The gambler’s fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chanc...
The Gambler’s Fallacy is a mistaken belief about sequences of random events. Observing, for example,...