How to weigh percentage versus quantity?

Question

So I have a leader board I'm trying to develop and I've run into a bit of a problem... It's a roulette game and I want to show who was the best stats.

Lets look at the following examples for scores:

21 wins, 15 losses
40 wins, 1 loss
40 wins, 10 losses
10 wins, 0 losses
1 win, 0 losses

In my mind the leader board should be like so:

#1 40 wins, 1 loss
#2 10 wins, 0 losses
#3 1 win, 0 losses
#4 40 wins, 10 losses
#5 21 wins, 15 losses

Originally I was going with just percentage but that means 1 win 0 losses beats 40 wins and 1 loss which doesn't make sense to me. I'm trying to find a way to weight quantity vs percentage.

I was originally thinking:

%*total = score

but that didn't give me a reasonable result, then I tried:

(%)^2*total = score

but again failure... I know there must be a formula for this somewhere!!! Help plz.

Answer 1

Interesting question. I'd suggest that you create an index which defined as:

Index = (Total wins) - Weight * (total losses).

With the example you gave, if you set Weight to 4 then the result would be

#1 (Index = 36) 40 wins, 1 loss
#2 (Index = 10) 10 wins, 0 losses
#3 (Index = 1) 1 win, 0 losses
#4 (Index = 0) 40 wins, 10 losses
#5 (Index = -39) 21 wins, 15 losses

so it would give you the order that you want. But you can play around with the weight to get the type of ordering that you desire.