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Question: 8 equally strong players (A<sub>1</sub>, A<sub>2</sub> .........A<sub>8</sub>) participate in a knoc...

8 equally strong players (A1, A2 .........A8) participate in a knockout chess tournament. They are drawn in pairs at random in each round. What is the probability that A3 reaches final is

A

½

B

1/3

C

1/8

D

¼

Answer

¼

Explanation

Solution

A3 has to win 2 matches to reach final.

\ Required probability = 12×12=14\frac { 1 } { 2 } \times \frac { 1 } { 2 } = \frac { 1 } { 4 }.