# How much does this sports bet pay?

Computes the profit and total payout of a single bet from its stake and American, decimal or fractional odds, or the stake needed to win a chosen profit.

- Page: https://www.acalculator.org/game/betting-calculator
- JSON spec: https://www.acalculator.org/game/betting-calculator.json
- Version: 847fb05eab50

## Default answer

Example with the default inputs (Odds format American, Odds -110, I know My stake, Stake $100.00): A $100.00 bet at -110 pays $190.91 in total, a profit of $90.91, if it wins.

## Inputs

| Key | Label | Description |
| --- | --- | --- |
| format | Odds format | The format of the odds you type: American, decimal, or fractional. |
| odds | Odds | The odds of the bet in the chosen format, for example −110, 1.91, or 10/11. |
| mode | I know | Whether you enter the stake (to see the payout) or the profit you want (to see the stake). |
| stake | Stake | The amount you bet. |
| win | Profit wanted | The profit you want if the bet wins, not counting the returned stake. |

## Outputs

| Key | Label | Description |
| --- | --- | --- |
| payout | Total payout | What you get back if the bet wins: stake × decimal odds, stake included. |
| profit | Profit if it wins | The payout minus the stake: stake × (decimal odds − 1). |
| stakeNeeded | Stake | The amount bet: typed, or the profit wanted ÷ (decimal odds − 1). |
| probability | Implied probability | The win chance the odds imply: 1 ÷ decimal odds, in percent. |
| american | American odds | The same odds in American format, rounded to 2 decimals. |

## Method

Payout = stake × d; profit = stake × (d − 1); stake for a profit P = P ÷ (d − 1), where d is the decimal odds.

## Assumptions

- A single bet that either wins or loses; a loss returns nothing.
- Taxes and any fee the bookmaker charges on winnings are not included.
- Results are mathematics, not betting advice.

## Worked examples

1. format = american, odds = -110, mode = stake, stake = $110.00 gives profit = $100.00, payout = $210.00, stakeNeeded = $110.00. Source: hand calculation in content.mdx: 110 × 100 ÷ 110 = 100 profit.
2. format = american, odds = +250, mode = stake, stake = $20.00 gives profit = $50.00, payout = $70.00, probability = 28.571429%. Source: hand calculation in content.mdx: 20 × 250 ÷ 100 = 50.
3. format = fractional, odds = 5/2, mode = win, win = $100.00 gives stakeNeeded = $40.00, payout = $140.00, american = +250. Source: hand calculation in content.mdx: 100 ÷ 2.5 = 40.
4. format = decimal, odds = 1.5, mode = win, win = $30.00 gives stakeNeeded = $60.00, payout = $90.00, american = -200. Source: hand calculation in content.mdx: 30 ÷ 0.5 = 60.

## FAQ

### How do I calculate the payout of a bet?

Multiply the stake by the decimal odds. A 20 stake at +250 (decimal 3.5) pays 20 × 3.5 = 70 in total: the 20 stake back plus 50 profit.

### How much do I win on a −110 bet?

At −110 you stake 110 to win 100. For any stake, the profit is stake × 100 ÷ 110. A 50 stake wins 45.45, for a payout of 95.45.

### What is the difference between payout and profit?

The payout is everything you get back when the bet wins, including your stake. The profit is the payout minus the stake. Decimal odds give the payout per 1 staked; American and fractional odds describe the profit.

### How much do I need to bet to win 100?

Divide 100 by the decimal odds minus 1. At fractional 5/2 (decimal 3.5), you need 100 ÷ 2.5 = 40. At −200 (decimal 1.5), you need 100 ÷ 0.5 = 200.

### Are taxes included?

No. In the United States gambling winnings are taxable income (IRS Topic 419), but this calculator shows only the payout before any tax or fee.

## Sources

- Wikipedia, Fixed-odds betting (fractional, decimal and moneyline odds): https://en.wikipedia.org/wiki/Fixed-odds_betting
- Internal Revenue Service, Topic no. 419, Gambling income and losses: https://www.irs.gov/taxtopics/tc419
- National Council on Problem Gambling, help and treatment (1-800-MY-RESET): https://www.ncpgambling.org/help-treatment/