Chess tournament problem
Probability
Level
3
In a chess tournament, every player won with white pieces the same number of games, as all other players won with black pieces. Is it always true that every player has won the same number of games?
No
Yes
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1 solution
Number of white wins of a player = Number of black wins of all others
Number of white wins of a player + number of black wins of a player = number of black wins of all others + number of black wins of a player
Number of all wins of a player = number of all wins with black pieces in the tournament
Therefore , a number of wins of a player is constant and equal for everyone.