Odds Calculator: Payout, Profit and Implied Probability
This odds calculator turns American, decimal or fractional odds and a stake into the payout, the profit and the implied probability of one bet.
- Total payout
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- Profit
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- Implied chance
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- American odds
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- Decimal odds
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- Fractional odds
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How to use the odds calculator
Choose the format your price is quoted in, type the odds, then type the stake. American odds go in with their sign, as -110 or +150. Decimal odds go in as 1.91, and fractional odds as 10/11. The results change as you type, and the stake starts at $100.
Six figures come back. Total payout is what the book hands over if the bet wins, your stake included. Profit is the payout less the stake. Implied chance is the price turned into a percentage. The last three lines show the same price in American, decimal and fractional form. At -110 with $100 staked, the calculator shows a total payout of $190.91, a profit of $90.91, an implied chance of 52.4%, decimal odds of 1.91 and fractional odds of 10/11.
American odds have no price between -100 and +100, so an entry such as -50 returns nothing. Decimal odds have to be above 1.
How the payout is worked out
Every format is first turned into decimal odds, and the payout is the stake multiplied by that decimal. There is one rule for each format.
- A plus price: divide it by 100 and add 1. So +150 is 150 / 100 + 1 = 2.50.
- A minus price: divide 100 by the number without its sign and add 1. So -110 is 100 / 110 + 1 = 1.909.
- A fraction: divide the top by the bottom and add 1. So 5/2 is 5 / 2 + 1 = 3.50.
Take -110 and $100 step by step. The decimal is 1.909, so the payout is $100 x 1.909 = $190.91. Take the $100 stake off and the profit is $90.91. The four bets below were worked the same way.
| Odds entered | Stake | Decimal odds | Total payout | Profit | Implied chance |
|---|---|---|---|---|---|
| -110 (American) | $100 | 1.91 | $190.91 | $90.91 | 52.4% |
| +150 (American) | $100 | 2.50 | $250.00 | $150.00 | 40% |
| 1.80 (decimal) | $25 | 1.80 | $45.00 | $20.00 | 55.6% |
| 5/2 (fractional) | $20 | 3.50 | $70.00 | $50.00 | 28.6% |
Moneyline bets: favorite and underdog
A moneyline bet is the plainest use of the calculator: one bet on who wins, at American odds. The minus price is the favorite and shows what you stake to win $100. The plus price is the underdog and shows what $100 wins.
Say a game is priced -150 on one team and +130 on the other. A $100 bet on the favorite at -150 pays $166.67, a profit of $66.67. The same $100 on the underdog at +130 pays $230.00, a profit of $130.00. Our guide to what a moneyline is covers how those prices are set and read. An alternate spread is also one bet at its own price, so each line on its ladder goes into the calculator the same way.
Implied probability, and the margin inside it
The implied chance is 100 divided by the decimal odds. At -110 that is 100 / 1.909 = 52.4%. Read it as a break-even rate: a bettor who wins 52.4% of bets at -110 finishes level, and one who wins fewer loses money.
That figure is higher than the chance the book gives the outcome, because the book’s margin is inside the price. Put -110 on both sides of a game and the two implied chances are 52.4% and 52.4%, which add to 104.8%. Two outcomes cannot have more than 100% between them. The extra 4.8 points are the margin, and with it removed each side is a 50% chance.
The same check works on an uneven line. At -150 and +130 the implied chances are 60% and 43.5%, a total of 103.5%. Divide each by 1.035 and the line says 58.0% and 42.0%. The calculator shows the implied chance with the margin still in it, and it cannot take the margin out, because that needs the price of every side of the market. How betting odds work goes through the margin in more detail.
Converting American, decimal and fractional odds
The three lines at the foot of the results are a converter. Type a price in one format and read it in the other two: -110 is 1.91 in decimal and 10/11 as a fraction, +150 is 2.50 and 3/2, and a decimal price of 1.80 is -125 in American odds and 4/5 as a fraction.
The fractional line shows the nearest simple fraction, with a bottom number no larger than 20, which is how books write them. For standard prices it is exact. For an unusual price it is the closest such fraction, so use the decimal line when you need the exact figure.
What the number does not tell you
The calculator does arithmetic on a price. It tells you what a bet pays and how often it has to win to break even: 52.4% of the time at -110, 40% of the time at +150. It does not tell you how often the bet will win, and no payout figure changes that. Set your own estimate of that chance against the break-even rate and you have the bet’s expected value, which our guide to EV betting works through.
It also prices one bet at a time. For two or more bets tied together, where every one has to win, use the parlay calculator, which multiplies the legs. A stake sized against your bankroll is a separate question, covered in what a unit is in betting.