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What do these odds mean in probability and money?

Odds of 2.50, 3/2 and +150 are the same price written three ways. The converter switches between the formats, shows the probability the price implies, what your stake returns and how much margin the bookmaker built into a market.

Result

Decimal
2.50
Fractional
3/2
American
+150
Implied probability
40.00%
Total return
€25.00
Profit
€15.00

Bookmaker margin of one market

Enter the decimal odds of every outcome in one market. Leave the draw at 0 for a two-way market.

Bookmaker margin
5.26%
Fair odds: Outcome 1
2.00 (50.0%)
Fair odds: Outcome 2
2.00 (50.0%)

Conversion formulas

Fractional to decimal: numerator ÷ denominator + 1, so 3/2 = 2.50. American to decimal: +150 means 150 ÷ 100 + 1 = 2.50; -200 means 100 ÷ 200 + 1 = 1.50. Decimal to American: at 2.00 or more, (decimal - 1) × 100; below 2.00, -100 ÷ (decimal - 1).

Implied probability = 1 ÷ decimal odds. 2.50 implies 40%, 1.50 implies 66.67%. If you think the real chance is higher than the implied one, the price favours you; if not, it does not.

Return and profit

Total return = stake × decimal odds; profit = return - stake. A 10 stake at 2.50 returns 25, of which 15 is profit. Fractional odds show the profit directly: 3/2 pays 3 for every 2 staked.

Bookmaker margin

Add up 1 ÷ odds for every outcome of a market. Without a margin the sum is exactly 100%; whatever is above it is the bookmaker's edge. Two outcomes at 1.90 give 52.63% + 52.63% = 105.26%, a margin of 5.26%. Fair odds remove it proportionally: here both become 2.00.

A lower margin means more of every stake comes back on average. Comparing the margin of the same market at several bookmakers is the quickest way to see who prices it more generously.

Why there are no picks here

We review casinos, not sportsbooks, so the converter recommends no bookmaker. Check that a betting site is licensed in your country before you deposit.

Questions and answers

+-What is 5/2 in decimal odds?

3.50: 5 ÷ 2 + 1. In American format it is +250, and the implied probability is 28.57%.

+-What does -110 mean?

You stake 110 to win 100 in profit. In decimal it is 1.91 (exactly 1.909), and the implied probability is 52.38%.

+-Is the implied probability the real chance?

No. It is the bookmaker's price including the margin. Removing the margin gives a fair probability, which is still only the bookmaker's estimate.

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