Q 1251167924.     Eight players `P_1,P_2,…,P_8` play a knock - out tournament. It is know that whenever the players `P_i` and `P_j` play, the player `P_i` will win if `i < j`. Assuming that the players are paired at random in each round, what is the probability that the player `P_4` reaches the final?

JEE 1999
A

`4/15`

B

`2/35`

C

`4/35`

D

`2/15`

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