The traditional world chess championship is a match of 24, Ask an Expert

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The traditional world chess championship is a match of 24 games. The current champion retains the title in case the match is a tie. Each game ends in a win, loss, or draw (tie) where wins count as 1, losses as 0, and draws as 1/2. The players take turns playing white and black. White has an advantage, because he moves first. The champion plays white in the first game. He has probabilities w_w, w_d, and w_l of winning, drawing, and losing playing white, and has probabilities bw, bd, and bl of winning, drawing, and losing playing black.

(a) Write a recurrence for the probability that the champion retains the title. Assume that there are g games left to play in the match and that the champion needs to win i games (which may end in a 1/2).

(b) Based on your recurrence, give a dynamic programming to calculate the champion's probability of retaining the title.

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Computer Engineering, Engineering

Category:- Computer Engineering
Reference No.:- M92174406

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