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Math Help - Calculating luck

  1. #1
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    Calculating luck

    I'm trying to calculate 'luck' for a dice game. Each player rolls (a various number of) dice. The highest score wins.

    Say I win a 97% (chance of winning) roll.

    I calculate it as:

    Me = +3% lucky.
    Opponent = -3% lucky.

    If I lost:

    Me = -97% lucky.
    Opponent = +97% lucky

    How would I go about calculating luck for more than 1 roll? Mean average doesn't work. Say I loose a 50% roll and a 99.9% roll.

    (-0.5 - 0.999) / 2 = -74.95%

    -75% luck even though I just lost a 1 in a 1000 roll.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by HumanEntity View Post
    I'm trying to calculate 'luck' for a dice game. Each player rolls (a various number of) dice. The highest score wins.

    Say I win a 97% (chance of winning) roll.

    I calculate it as:

    Me = +3% lucky.
    Opponent = -3% lucky.

    If I lost:

    Me = -97% lucky.
    Opponent = +97% lucky

    How would I go about calculating luck for more than 1 roll? Mean average doesn't work. Say I loose a 50% roll and a 99.9% roll.

    (-0.5 - 0.999) / 2 = -74.95%

    -75% luck even though I just lost a 1 in a 1000 roll.
    Tell us what you want this "luck" to represent.

    CB
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  3. #3
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    Joined
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    I suppose luck would represent the difference between the expected value and the actual value.

    If a player has a 50% chance of winning a roll. He rolls 100 times and wins 50. He is neither lucky/unlucky. If he rolls 100 times and wins 90. He is lucky.
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