Individuals A and B begin to play a sequence of chess games. Let S = { A wins a game }, and suppose that outcomes of successive games are independent with P(S) – p and P(F) – 1 – p )they never draw). They will play until one of them wins ten games. Let X = the number of games played (with possible values 10, 11,……..,19). a. For x = 10, 11, …..19, obtain an expression for p(x) – P(X = x). b. ?If a draw is possible, with p = P(S), q = P(F), 1- p – q = P(draw), what are the possible values os X? What is P(20 ? X) = 1- P(X < 20).]

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