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Question: A<sub>1</sub>, A<sub>2</sub>A<sub>3</sub> .......... A<sub>16</sub> play a knockout tournament. All ...

A1, A2A3 .......... A16 play a knockout tournament. All are equally strong. They are paired at random in each round. Then if A2 reaches the final, the chance that A5 wins the tournament.

A

½

B

1/15

C

1/30

D

2/15

Answer

1/30

Explanation

Solution

A2-

P(1) = 1/15 P(B/A) = 12\frac { 1 } { 2 }

P(AĒB) = 130\frac { 1 } { 30 } .