Ah, the vig - or vigorish - without it how would the sports book make a profit? We all know that the sports books try to even out their wagers, with half of bettors on one side of the bet and half on the other. Then they clean up by charging the vig. But what does this mean to the average gambler? What success rate do we need to have to equalize that 10% vig? Some might say 60% since 50% is break-even and the sports book charges 10%, we have 50% + 10% = 60%, right? Wrong!
Actually it’s 52.38% and I’ll tell you why. It’s all based on an equation that I figured out, and I’m sure its in gambling textbooks everywhere. It goes like this:
P = N * B * (S * (2+V) / (1+V) - 1)
where
P is the total profit
N is the number of bets made
B is the bet ammount
S is the success fraction
V is the vigorish fraction
Now skim over this paragraph because we are going to do some math, and just about everyone hates math. Let’s set profit equal to zero, establishing the break-even point between the sportsbook and the gambler. Mathematically then, N and B divide into zero and disappear, leaving us with
0 = S * (2+V) / (1+V) - 1
We then pull the -1 over to the left hand side and divide by S, then take the inverse and what do we get? We get
S = (1 + V) / (2 + V)
That’s the formula for figuring out the success rate that is required to break even with a particular vig. Let’s say the vig is 10%, or 0.1, then we have S = 1.1 / 2.1 = 0.5238, or 52.38%.
Now let’s try another example. In the recent Houston Texans at Atlanta Falcons game one sports book charged a 25% vigorish for Houston -2.5. Now, I happen to have lost that bet so the vig didn’t matter, but what success percentage would I have needed to equalize that vig? S = 1.25 / 2.25 = 0.556, or 55.6% success rate. Even if I win I lose! Very few people are consistently above 55%, so in the long term its a losing propositon. I shouldn’t have taken that pretend bet at all.
This helps us out a great deal in deciding whether to take a bet or not. Let’s say you’re in the situation where you’ve chosen a team to defeat its opponent by more than the spread and you’re ready to bet. You go to your sports book and you find your bet, but there’s a different vigorish than 10% listed. Maybe its 15% or 20% or more. How can you determine if you should take that bet or not? Just use the formula S = (1 + V) / (2 + V) and you’ll come up with a success rate. Do you think you’re that accurate in the long term? Do you feel that good about this particular bet for some reason? It’s your decision, but now you have the math to back it up!