# Thread: Calculating luck

1. ## 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.

2. Originally Posted by HumanEntity
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

3. 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.