Different possible conditions in the gambler ruin problem

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Consider the following three different possible conditions in the gambler's ruin problem:

(aJ The initial fortune of gambler A is 2 dollars and the initial fortune of gambler B is 1 dollar.

(b) The initial fortune of gambler A is 20 dollars and the initial fortune of gambler B is 10 dollars.

(c) The initial fortune of gambler A is 200 dollars and the initial fortune of gambler B is 100 dollars. Suppose that p = q = 1/2. For which of these three conditions is there the greatest probability that gambler A will win the initial fortune of gambler B before he loses his own initial fortune?

Reference no: EM131829848

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