acalculator

What does my parlay pay?

Enter the odds of each leg and your stake to see what the parlay pays and the combined odds. The results are mathematics, not betting advice.

Your numbers

Odds format
Legs
Row 1
Row 2
Row 3
Total payout
$91.12

A $10.00 parlay at 9.1116 decimal odds pays $91.12 (live or won).

Profit
$81.12
Parlay decimal odds
9.1116
Parlay American odds
+811.16
Parlay fractional odds
1963/242
Implied probability
10.98%
Legs that count
3
Status
live or won

Total payout: $91.12. A $10.00 parlay at 9.1116 decimal odds pays $91.12 (live or won).

The results are maths only. They are not betting advice or a promise of a return. Bet only what you can afford to lose. For help with gambling, call 1-800-GAMBLER. Terms of use

How to calculate

Computes the combined odds, payout and profit of a parlay (accumulator) of 2 to 12 legs in American, decimal or fractional odds, with pushed and lost legs.

Example with the default inputs (Odds format American, Legs [Odds -110, Result Open or won; Odds -110, Result Open or won; Odds +150, Result Open or won], Stake $10.00): A $10.00 parlay at 9.1116 decimal odds pays $91.12 (live or won).

Method: Parlay decimal odds D = d₁ × d₂ × … over the legs that count (pushed legs drop out); payout = stake × D, or 0 if any leg lost; profit = payout − stake.

  • Legs are independent bets priced separately; the parlay odds are the product of the leg odds. Some bookmakers pay reduced odds on parlays or on same-game parlays.
  • A pushed (tied or void) leg drops out, so the parlay pays on the other legs. If every leg pushes, the stake is returned.
  • Results are mathematics, not betting advice.

Machine-readable copies: Markdown, JSON.

Worked examples

Each example is checked against the calculator on every build.

  1. Odds format American, Legs -110 Open or won; -110 Open or won, Stake $100.00 gives Parlay decimal odds 3.644628, Parlay American odds +264.46, Parlay fractional odds 320/121, Total payout $364.46, Implied probability 27.437642%.Source: hand calculation in content.mdx: (21/11)² = 441/121; 100 × 441/121 = 364.46
  2. Odds format American, Legs -110 Open or won; -110 Open or won; +150 Open or won, Stake $10.00 gives Parlay decimal odds 9.11157, Parlay American odds +811.16, Parlay fractional odds 1963/242, Total payout $91.12.Source: hand calculation in content.mdx: 441/121 × 5/2 = 2205/242; 10 × 2205/242 = 91.12
  3. Odds format Decimal, Legs 2 Open or won; 1.5 Push; 3 Open or won, Stake $20.00 gives Parlay decimal odds 6, Parlay American odds +500, Parlay fractional odds 5/1, Total payout $120.00, Profit $100.00, Legs that count 2.Source: hand calculation in content.mdx: the pushed leg drops out; 2 × 3 = 6; 20 × 6 = 120
  4. Odds format Fractional, Legs 1/1 Open or won; 2/1 Lost, Stake $25.00 gives Total payout $0.00, Profit -$25.00, Parlay decimal odds 6, Parlay American odds +500, Legs that count 2, Status lost, because a leg lost.Source: hand calculation in content.mdx: a lost leg loses the whole parlay; the ticket odds stay 2 × 3 = 6

How it works

Each leg’s odds become decimal odds d as an exact fraction: American +A gives d = 1 + A ÷ 100, American −A gives d = 1 + 100 ÷ A (A ≥ 100), fractional a/b gives d = 1 + a ÷ b.

Each leg has a result:

  • Open or won: the leg counts at its odds. A leg with no result chosen (a row you just added, or a link without it) is open.
  • Push: the leg drops out (it counts as decimal odds 1).
  • Lost: the parlay loses.

Then, with S the stake:

  • Legs that count = the legs not pushed (open, won or lost).
  • Parlay decimal odds D = the product of the decimal odds of the legs that count: the odds of the ticket as placed (1 when every leg pushed). A lost leg stays in D, so a lost parlay still shows the odds it was placed at.
  • Payout = S × D, or 0 when any leg lost.
  • Profit = payout − S.
  • Parlay American odds from D: +100 × (D − 1) when D ≥ 2, −100 ÷ (D − 1) when D < 2, rounded to 2 decimals (halves away from 0). Parlay fractional odds: the exact fraction D − 1 in lowest terms.
  • Implied probability = 100 ÷ D percent.
  • When every leg pushed, the stake comes back, D is 1, and the American odds, fractional odds and implied probability are not shown.
  • Status, checked in this order: lost, because a leg lost when any leg lost; refunded, because every leg pushed when every leg pushed; otherwise live or won.
  • The answer sentence reads “A (stake) parlay at (D) decimal odds pays (payout) (status).”

What you can type: spaces are ignored and − reads as -. Each format has its own shape, so odds typed in another format are never read as this one: the page says which format they are in and gives the same price in the chosen format. American odds have a + or − sign and a size of at least 100 (+150, -110, +1,000; commas are thousands commas). Decimal odds are a plain number above 1 with no sign (2.5); a single comma with no point is a decimal comma (2,5 is 2.5) unless exactly 3 digits follow it (1,000 is 1000), and any other comma is a thousands comma. Fractional odds are a/b, a:b, a-b or a to b with a and b above 0, or evens, even or evs (any letter case, to too); a bare number is not fractional odds. A number with no sign typed as American odds (100 or more), a whole number typed as fractional odds, or a number below 100 typed as a probability gets a message saying what to add (+150, 4/1, 40%). Decimal odds above 1,000,001 (American +100,000,000) give no answer, and every leg needs odds, even a pushed or lost one.

Assumptions

  • The legs are independent and each is priced on its own.
  • No taxes, fees or payout caps.

Worked examples by hand

Two legs at −110, stake 100. Each leg is d = 1 + 100 ÷ 110 = 21/11. D = 441/121 = 3.6446. Payout = 100 × 441/121 = 364.46. D − 1 = 320/121, so American odds are +100 × 320/121 = +264.46. Implied probability = 121/441 = 27.44%.

−110, −110 and +150, stake 10. The third leg is d = 1 + 150 ÷ 100 = 5/2. D = 441/121 × 5/2 = 2205/242 = 9.1116, payout = 91.12. D − 1 = 1963/242, which is +811.16.

Decimal 2, 1.5 (pushed) and 3, stake 20. The pushed leg drops out: D = 2 × 3 = 6, payout 120, profit 100, American +500, fractional 5/1, 2 legs count.

Fractional 1/1 and 2/1 (lost), stake 25. A leg lost, so the payout is 0 and the profit is −25. The ticket's odds are still 2 × 3 = 6 (+500, 5/1), and 2 legs count.

A note on betting

These results are mathematics, not advice. Every bet can lose, and a parlay multiplies the bookmaker’s margin across its legs. If gambling is causing problems for you or someone you know, the US National Problem Gambling Helpline is 1-800-MY-RESET (call or text).

Other questions people ask

How are parlay odds calculated?

Turn each leg’s odds into decimal odds and multiply them. Two legs at −110 are 21/11 × 21/11 = 441/121 = 3.6446 in decimal odds, which is +264.46 in American odds. A 100 stake pays 364.46.

What happens when a parlay leg pushes?

The pushed leg drops out and the parlay pays on the other legs. A three-leg parlay at decimal 2, 1.5 and 3 with the 1.5 leg pushed pays at 2 × 3 = 6. If every leg pushes, the stake is returned.

What happens when one leg loses?

The whole parlay loses and pays nothing, however many other legs win.

What is the implied probability of a parlay?

It is the product of the legs’ implied probabilities, which equals 1 ÷ the parlay decimal odds. Two −110 legs imply 52.38% each and 27.44% together. Each leg’s margin is multiplied too, so a parlay carries more margin than a single bet.

Why does my bookmaker pay less than this calculator shows?

This calculator multiplies the odds of independent legs. Many bookmakers price same-game parlays lower because the legs are related, and some cap payouts. Check the odds the bookmaker offers for the whole parlay.