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Consider a gambler who at each gamble is equally likely to either win or lose 1 unit. Suppose the gambler will quit playing when his winnings are either A or −B,A>0,B>0. Use an appropriate martingale to
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Consider a gambler who at each gamble is equally likely to either win or lose 1 unit. Suppose the gambler will quit playing when his winnings are either A or −B,A>0,B>0. Use an appropriate martingale to show that the expected number of bets is AB.

User Kayana
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4.4k points

1 Answer

3 votes

Answer:

2ⁿ
A^(k)-
B^(m)

Explanation:

find the attached solution below

Consider a gambler who at each gamble is equally likely to either win or lose 1 unit-example-1
Consider a gambler who at each gamble is equally likely to either win or lose 1 unit-example-2
Consider a gambler who at each gamble is equally likely to either win or lose 1 unit-example-3
User Peter Jamieson
by
4.5k points
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