BETTING MATHEMATICS GUIDE

Why Accumulator Odds Multiply

Accumulator prices multiply because every selection must win for the full return. The combined price grows as more legs are added.

The central idea

Accumulator prices multiply because every selection must win for the full return. The combined price grows as more legs are added.

Combined odds = odds₁ × odds₂ × … × oddsₙ

Worked example

Odds of 1.50, 2.00 and 1.80 combine to 5.40. A 25-unit stake targets 135 units back. The reciprocal price is 18.52%, assuming the selections can be treated as independent.

Limits of the calculation

Selections from the same event may be correlated. Multiplying their standalone probabilities does not create a valid true joint probability when independence fails.

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