(b) Determine the average number of weeks I keep a book before returning it to the library....

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(b) Determine the average number of weeks I keep a book before returning it to the library.

In Casino del Rio, a gambler can bet in whole dollars. Each bet will either gain $1 with probability .4 or lose $1 with probability .6. Starting with three dollars, the gambler will quit if all money is lost or the accumulation is doubled.

(a) Express the problem as a Markov chain.

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