Chess tournament

Probability Level 1

A chess tournament is a series of chess matches played competitively to determine a winning individual. If a player is eliminated as soon as he/she loses a match, how many matches are required to determine the winner, when the number of players is 129?


The answer is 128.

Ossama Ismail by Ossama Ismail , 63, Egypt

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1 solution

Ossama Ismail
Feb 17, 2017

Answer: 128

In each match, one player is eliminated. To eliminate 128 from 129, 128 matches are required.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

It can be done else: take 2 random players and play a match. Winner goes through to the next round. Then there are 128 players left. Then by elimination(like the schedule that is given along with the question) you have another 64,32,16,8,4,2,1 matches. This also results in 128 matches. And I made a mistake in my calculations, so I answered wrong... But better question: how do we know it can't be done with less matches?

Peter van der Linden - 4 years, 3 months ago

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