Suppose that, starting with a fortune of f 0 units, you bet a units each time on

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Suppose that, starting with a fortune of f0 units, you bet a units each time on evens at roulette (so that you have a probability of 18/37 of winning at Monte Carlo or 18/38 at Las Vegas) and keep a record of your fortune fn and the difference dn between the number of times you win and the number of times you lose in n games. Which of the following are stopping rules?

(a) The last time n at which fn ≥ f0

(b) The first time that you win in three successive games. 

(c) The value of n for which fn = max {0≤k<∞} fk.

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