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# Betting (bookmaker, bettor) odds calculator

The current web page allows you to calculate margin (vigorish) and overround for bookmakers odds, to evaluate the proposed betting markets. Also a bettor (a professional player who bets on sports) has the ability to obtain true (fair) odds and calculate stakes (amounts) for the betting arbitrage (surebets).

Calculation of margin, overround, probabilities, odds sum and difference
C1 C2 C3 C1 ⊕ C2 C1 ⊖ C2 Margin, %
P1, % P2, % P3, % P1 + P2 P1 - P2 Over­round, %

Coef, C, C1, C2, C3, ... C9 - bookies odds in decimal format (coefficients; all >= 1)
Prob, P, P1, P2, P3, ... P9 - probabilities

⊕, ⊖ - bookmakers odds Sum and Difference

Calculation of margin, overround, probabilities and true odds
Bookies OddsProbability, %True Odds
Margin, %Overround, %

Margin (M) and Overround (O) calculation formulas:

M = 1 - Odds*Prob, Odds = (1 - M)/Prob

M = 1 - 1/(1/C1 + 1/C2 + ... + 1/CN), when P1 + P2 + ... + PN = 1

O = M/(1 - M), M = O/(1 + O)

Arbitrage bets (arb, surebets) calculation
Odds 1Odds 2Odds 3Margin, %
Sum of StakesStake 1Stake 2Stake 3Profit

Set two-way (for example: W1, W2X) or three-way (for example: W1, W2, X) odds and sum of stakes (total bid) to calculate

Stake - stake (wager, bet) amount

Calculation equations:

Odds_1*Stake_1 = Odds_2*Stake_2 [= Odds_3*Stake_3] = (1 - M)*Sum_of_Stakes

Page time:

Saturday
06-03-2023
14:07:17 UTC