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Question

Sixteen players S1,S2,..... S16 play in a tournament. They are divided into eight pairs at random. From each pair a winner is decided on the basis of a game played between the two players of the pair. Assuming that the players are of equal strength. The probability that the player S1 is among the eight winners is

A
12
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B
13
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C
23
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D
14
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Solution

The correct option is C 12
Lets say that S1 is paired with anyone from the remaining players
Since S1 and his opponent have equal strength, therefore both of them will have equal chances of winning
Therefore, the probability of winning of S1=1/2

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