PolyOddsTools
Calculator

Expected Value Calculator

Compare your estimated probability against offered odds to see whether the wager has positive or negative expected value.

Expected value$1.95
EV factor1.078
Implied probability45.45%
Fair odds2.04

Method

How it works

Expected value compares the probability you assign to an outcome with the return offered by the odds. A positive result means the assumptions produce a theoretical long-run gain per modeled stake; it does not predict whether one event will win.

How to use this calculator

  1. 1Choose or enter the offered odds format.
  2. 2Enter your estimated probability for the outcome.
  3. 3Set a stake for an easy-to-read currency result.
  4. 4Compare expected value, fair odds, implied probability, and the EV factor.

Educational example

Positive EV example

At decimal odds of 2.20 and an estimated win probability of 50%, the EV factor is 1.10.

A $10 modeled stake has an expected value of $1 before fees or taxes. The estimate is useful only if the 50% probability is well calibrated.

Common use cases

Price comparison

Compare two available prices using the same probability estimate.

Model review

Measure whether historical probability estimates were calibrated before trusting future EV.

Prediction markets

Translate a contract price and fee into a break-even probability.

Limitations

Expected value is highly sensitive to probability error. It also omits limits, account restrictions, changing prices, taxes, liquidity, and the sequence risk created by a finite bankroll.

Frequently asked questions

What does positive EV mean?

It means the price is favorable under the probability assumptions entered into the calculator.

Can a positive EV selection lose?

Yes. Expected value describes an average across repeated comparable decisions, not one outcome.

Where should the probability estimate come from?

Use a documented model, a no-vig market estimate, or another source you can validate out of sample.