Exit Times and Exit Distributions - Pass, Throw, Interception, Fumble a football.

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A quarter back can Pass, Run, Fumble or throw an interception denoted (P,R, F,I). Let Xn be a sequence of those possibilities with the transition matrix given (**). If the first play is a pass, what is the expected number of plays until the QB throws an interception or fumble? What is the probability the sequence ends in an interception?
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