I think I may have figured it out. You have to use binomial probabilities and a calculator like this one:

http://vassarstats.net/binomialX.html
Let's say your record was 33-27. That's 60 bets. You want to know what the odds that a coin flip could achieve those results. The less likely a coin flip could achieve it, the more likely that you are a skilled bettor.

Enter:

n = total bets

k = losses

p = 0.5

Then hit Calculate.

Look at the

*P: k or fewer out of n *number. In this example, it's

**0.259479001595**

Multiply by 2 (you want both ends of the spectrum): 0.259479 x 2 =

**0.518958**

Therefore, there is a 51.89% chance that a coin flipper could have achieved that result or better. So there isn't good evidence that you are a skilled bettor at 33-27. It's just as likely to be chance.

Another example, record of 36-24

P =

**0.077500952002**
P x 2 =

**0.155001904**
Therefore, there is a 15.5% chance that a coin flipper could have achieved that result or better. So it's very likely that your record is due in part to skill.