Probability & Odds Converter

Convert probability and decimal odds.

Inputs

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Formula

odds = p ÷ (1−p)

Decimal odds express payout per unit stake including stake return. Probability p must lie strictly between 0 and 1.

Worked example

25% chance equals decimal odds of 0.25/0.75 = 1/3 (one win per three losses).

Where this can give the wrong answer

  • p = 0 or 1 makes odds undefined at the boundary.
  • American moneyline odds need a different conversion.
  • Implied probability from book odds includes margin.

FAQ

Decimal 3.0 means ₹3 back per ₹1 stake if you win — includes stake.