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.