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Sports Mathematics Utility

Football Odds & Probability Calculator

Accurately convert between Decimal, Fractional, and American odds formats. Calculate implied win probabilities and measure the true bookmaker margin (overround).

Odds Conversion & Payout

Implied Win Probability 40.0%
Decimal 2.50
Fractional 3/2
American +150
Total Payout $250.00

1X2 Bookmaker Overround (Margin)

Enter the 3-way match prices to reveal the bookmaker house edge and calculate true normalized probabilities.

Bookmaker Edge / Margin 3.67%
Home Fair % 49.4%
Draw Fair % 27.5%
Away Fair % 23.1%

Mathematical Methodology & Disclaimers

Implied probability is calculated using the formula: Implied Probability (%) = (1 / Decimal Odds) * 100. When bookmakers price a match, the sum of probabilities across all outcomes exceeds 100%. This surplus is known as the overround or bookmaker margin. This tool executes pure mathematical conversions and does not provide gambling advice, financial tips, or guarantees of winning outcomes.