Problem

A casino patron will continue to make $5 bets on red in roulette until she has won 4 of th...

A casino patron will continue to make $5 bets on red in roulette until she has won 4 of these bets.

(a) What is the probability that she places a total of 9 bets?

(b) What are her expected winnings when she stops? Remark: On each bet, she will either win $5 with probability  or lose $5 with probability .

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