Peter and Mary take turns rolling a fair die. If Peter rolls 1 or 2 he...

Peter and Mary take turns rolling a fair die. If Peter rolls 1 or 2 he wins and the game stops. If Mary rolls 3, 4, 5, or 6, she wins and the game stops. They keep rolling in turn until one of them wins. Suppose Peter rolls first.
(a) What is the probability that Peter wins? (b) What is the probability that Mary wins?

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orchestra answered 1 year ago

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