Thirty-two players ranked 1 to 32 are playing in a knockout tournament. Assume that in every match between any two players, the better-ranked player wins, the probability the ranked 2 players are winner and runner up, respectively, is

Question : Thirty-two players ranked 1 to 32 are playing in a knockout tournament. Assume that in every match between any two players, the better-ranked player wins, the probability the ranked 2 players are winner and runner up, respectively, is

(A) 16/31

(B) 1/2

(C) 17/31

(D) none of these

Answer : option (A)

Solution :

Thirty-two players ranked 1 to 32 are playing in a knockout tournament. Assume that in every match between any two players, the better-ranked player wins, the probability the ranked 2 players are winner and runner up, respectively, is
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