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You and your opponent both roll a fair die. If you both roll the same number, the game is repeated otherwise whoever rolls the larger number wins. Let N be the number of times the two dice have to be rolled before the game is decided.

(a) Determine the probability mass function of N.

(b) Compute EN

(d) Assume that you get paid $10 for winning in the first round, $1 for winning in any other round, and nothing otherwise. Compute your expected winnings.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9980733

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