Answer to Question #150071 in Statistics and Probability for Wesam

Question

Hong and Song each have a shuffled deck of eight cards, four red and four black. Every turn, each player places down the two topmost cards of their decks. A player can thus play one of three pairs: two black cards, two red cards, or one of each color. The probability that Hong and Song play exactly the same pairs as each other for all four turns is m/n, where m and n are positive integers with gcd(m,n) = 1.Compute 100m+n.

Answer 1

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