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Math Help - probability

  1. #1
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    probability

    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?
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  2. #2
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    Because the other probabilities add up to 0.7, or 70%.
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  3. #3
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    doesn't it mean that the probability to lose of tie is 0.3?
    not only tie.
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  4. #4
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    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.
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