Q.

In a knockout tournament, 2n equally skilled players; S1, S2, .…, S2n are participating. In each round, players are divided in pairs at random and winner from each pair moves to the next round. If S2 reaches the semi-final, then the probability that S1 wins the tournament is 184. The value of n is ________.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

answer is 6.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given S2 reaches the semi-finals.Since all other players (2n - 1) are equally likely to win the finals with probability p.∴     2n−1p+14=1⇒     2n−1p=34⇒ p=342n−1If p=184, then∴    184=342n−1⇒    2n−1=63⇒     2n=64⇒     n=6
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon