No Vig Calculator

Formatting only. This does not change the calculation.
Leave on automatic unless a bare number is ambiguous.
Comma-separated. Parlay legs, arbitrage outcomes or the whole market for a no-vig calculation.
Multiply full Kelly by this. Half Kelly (0.5) keeps most of the growth with far less variance.
Bookmaker overround
4.761905 %
Betting Odds Calculator
Sum of implied probabilities
104.761905 %
Vig (margin as a share of the book)
4.545455 %
Worked out from Kelly, J.L. Jr (1956), "A New Interpretation of Information Rate", Bell System Technical Journal 35(4), 917-926 and 3 other sources.
The multiplicative method spreads the margin proportionally. Books usually load the favourite more heavily, so power or Shin methods can give slightly different fair prices.
This is an arithmetic tool, not betting advice. Bookmaker prices already carry a margin, so the long-run expected value of a bet at posted odds is negative unless you genuinely have an edge. Gamble only what you can afford to lose.

How this is worked out

3 steps
  1. Posted implied probabilities: 52.381%, 52.381%
  2. They sum to 104.761905%, so the overround is 4.761905 percentage points and the vig is 4.545455% of the book.
  3. Dividing each by the total gives the fair probabilities 50%, 50% and fair prices 2, 2.
No-vig fair pricestable
outcomepostedDecimalpostedProbabilityfairProbabilityfairDecimalfairAmerican
11.90909152.380952502100
21.90909152.380952502100

Results are general information, not financial, tax, legal, medical or engineering advice.