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Eight players P1, P2, P3, ...........P8...

Eight players `P_1, P_2, P_3, ...........P_8`, play a knock out tournament. It is known that whenever the players `P_i and P_j`, play, the player `P_i` will win if `i lt j`. Assuming that the players are paired at random in each round, what is the probability that the players `P_4`, reaches the final ?

A

`31//35`

B

`4//35`

C

`8//35`

D

None of these

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The correct Answer is:
B
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