Home
Class 12
MATHS
8 players P1, P2, P3, …, P8 play a knoc...

8 players `P_1, P_2, P_3, …, P_8` play a knock out tournament. It is known that all the players are of equal strength. The tournament is held in three rounds where the players are paired at random in each round. If it is given that `P_1` wins in the third round. If p be the probability that `P_2` loses in second round, then the value of 7p is

Text Solution

Verified by Experts

The correct Answer is:
`(2)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|27 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

8n players P_(1),P_(2),P_(3)……..P_(8n) play a knock out tournament. It is known that all the players are of equal strength. The tournament is held in 3 where the players are paired at random in each round. If it is given that P_(1) wins in the third round. Find the probability that P_(2) looses in the second round.

Eight players P_(1),P_(2),P_(3),............P_(8), play a knock out tourrament.It is known that whenever the players P_(i) and P_(j), play,the player P_(i) will win if i

Players P_(1),P_(2),P_(3),P_(4) play knock out tournament.It is known that if P_(i), and P_(j) play,then P_(i), will win if i

In a knockout tournament 2^(n) equally skilled players, S_(1),S_(2),….S_(2n), are participatingl. In each round, players are divided in pair at random and winner from each pair moves in the next round. If S_(2) reaches the semi-final, then the probability that S_(1) wins the tournament is 1/84. The value of n equals _______.

In a knockout tournament 2^n equally skilled players; S_1.S_2.......S_(2^n)are participating. In each roundplayers are divided in pair at random and winner from each pair moves in the next round. If S_2 reaches thesemifinal then the probability that S_1 wins the tournament is 1/20. Find the value of 'n'.

Sixteen players P_(1),P_(2),P_(3)….., P_(16) play in tournament. If they grouped into eight pair then the probability that P_(4) and P_(9) are in different groups, is equal to

2^(n) players of equal strength are playing a knock out tournament.If they are paired at randomly in all rounds,find out the probability that out of two particular players S_(1) and S_(2) exactly one will reach in semi-final (n in N,n>=2)

If (2p-1), 7, 3p are in AP, find the value of p.