Question: Problem 5.14 A fair die is thrown n times and the successive outcomes are denoted by X1,...,Xn. Let Mn = max(X1,...,Xn). Compute the conditional probabilities

Problem 5.14 A fair die is thrown n times and the successive outcomes are denoted by X1,...,Xn. Let Mn = max(X1,...,Xn). Compute the conditional probabilities pij defined by pij = P(Mn = j|Mn−1 = i), (i = 1,..., 6; j = 1,..., 6). Display your answers in the format of a 6 × 6 matrix, with first row given by p11, p12,... p16, and ith row pi1, pi2,... pi6.

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