Skip to content
OddsKeepr

Expected value calculator

Compare a price with a fair price or your own probability to see the expected value per stake and the edge in percent.

Read as decimal odds: 2.10

Read as decimal odds: 2.00

Expected value +5.00 on a stake of 100.00 (+5.0% edge).

Expected value
+5.00
Edge
+5.0%
Profit if it wins
110.00
Your probability
50.0%
Break-even probability
47.6%

An average over many bets like this one, never a forecast of one result. It is only as good as the estimate.

How it works

Expected value is what a stake is worth on average over many repeats: the chance of winning times what a win pays, minus the chance of losing times the stake.

For decimal odds it comes down to probability × price − 1 per unit staked. Above 0, the price pays more than the chance it stands for; below 0, less. That figure as a percentage is the edge.

The probability is the hard part. A fair price from the no-vig calculator is one estimate; your own is another. The result is only as good as that number.

Worked example

A price of 2.10 (+110) on an outcome whose fair price is 2.00, a 50% chance, with a stake of 100.

  1. Expected value per unit staked = probability × price − 1 = 0.5 × 2.10 − 1 = 0.05, an edge of +5.0%.
  2. A win pays 110.00 in profit and a loss costs 100.00: 0.5 × 110.00 − 0.5 × 100.00 = +5.00.
  3. So the stake of 100 is worth +5.00 on average. Any single result is still a win or a loss.
  4. At 2.00 the edge is 0, and at −110 (1.91) it is −4.5%.

Questions

What is a positive expected value?

A price that pays more than the probability you put in says it should. It is an average over many repeats, never a promise about one result.

Where does the probability come from?

From any estimate you trust: a fair price with the margin removed, a consensus of several books, or your own model. A wrong estimate gives a wrong expected value.

What is the break-even probability?

The chance at which the price has an expected value of exactly 0: one divided by the decimal price. Above it the expected value is positive.

Related

Gambling can be addictive. If it stops being fun, free and confidential help is available. Find help in your country, opens in a new tab