2 player play chess.
the probability that the first player wins in a single game is 0.5.
the probability that the second player wins in a single game is 0.2.
what is the the probability of tie?
the answer is 0.3 but why?
The probability of the first player winning is also the probability of the second player losing and vice versa.
ie. First player has a 0.5 chance of winning and 0.2 chance of losing, whilst second player has a 0.2 chance of winning and 0.5 chance of losing.
Since chess only has 2 players, and if one wins the other loses, the only other possibility is a tie.