Roulette probability problem What is the probability of doubling your money? - roulette double
You are at the roulette table and you can put $ 1 for each currency, and can only be put on red or black (if the probability of winning, in each round, 18/38). You play until you lose all your money or double your money, then stop. What is the probability of doubling up when you start your money with the U.S. dollar of n? I found the case of 1, 2 and $ 4 per tree probaility review and summary of the series for money, but there is a general method?
Thursday, December 31, 2009
Roulette Double Roulette Probability Problem What Is The Probability Of Doubling Your Money?
2 comments:
This is the classic problem of random walk. The solution:
If P is the probability of winning, and 1-p, the probability of losing, let R = P / (1-p). The probability to lose a little money given to U.S. dollars before B
(1-r ^ B) / (1-r ^ (A + B))
Reference: Goodman and Ratti, Finite Mathematics with Applications
The derivation of this statement is a study of Markov chains and linear difference equations. A very brief discussion in
~ Susan http://www-stat.stanford.edu/ / Court ...
I do not think that starting the amount of money at something changes. Double-zero and are still considered "far away" from what you have. Year are still slightly more likely to lose everything.
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