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Expected value calculator for probability and odds.

Compare an independent probability estimate with decimal odds and calculate theoretical EV, break-even probability and the difference between estimates.

Break-even probability50.00%100 ÷ 2.00
Probability difference+5.00 pp55.0% − 50.00%
Theoretical EV+10.00%Positive theoretical EV
EV for the stake+10.00(55.0% × 2.00 − 1) × 100.00

Educational calculation only. The result depends entirely on the probability estimate and does not guarantee a profit or recommend a transaction.

DEFINITIONS

Read every output separately

01

Break-even probability

The direct probability implied by decimal odds: 100 divided by the price.

02

Probability difference

Your estimate minus the direct market-implied probability, expressed in percentage points.

03

Expected value

The theoretical average net result if the same probability and price assumptions held across many comparable cases.

WORKED EXAMPLE

Example: 55% at decimal odds of 2.00

The price implies 50%. An independent 55% estimate is five percentage points higher. The theoretical EV is (0.55 × 2.00 − 1) × 100 = +10% of the illustrative stake. The event can still lose, and an inaccurate 55% estimate makes the output misleading.

LIMITATION

The formula cannot validate its own input

EV is conditional on probability quality. Check calibration, data timing, margin, market definition and settlement rules. Do not derive the independent estimate from the same unadjusted price and then treat the result as new evidence.

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