What is the odds payout on each side?
Enter the odds on both sides of a line and a stake to compare what each side pays and how much margin the line holds. The results are mathematics, not betting advice.
- Payout on side 1
- $166.67
A $100.00 bet pays $166.67 if side 1 (-150) wins and $230.00 if side 2 (+130) wins.
- Profit on side 1
- $66.67
- Payout on side 2
- $230.00
- Profit on side 2
- $130.00
- Implied probability, side 1
- 60%
- Implied probability, side 2
- 43.48%
- Overround
- 3.48%
- Bookmaker’s margin (hold)
- 3.36%
Payout on side 1: $166.67. A $100.00 bet pays $166.67 if side 1 (-150) wins and $230.00 if side 2 (+130) wins.
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 payout and profit of a stake on each side of a two-way betting line (a moneyline), the implied probability of each side, and the bookmaker’s margin.
Example with the default inputs (Odds format American, Odds on side 1 -150, Odds on side 2 +130, Stake $100.00): A $100.00 bet pays $166.67 if side 1 (-150) wins and $230.00 if side 2 (+130) wins.
Method: Payout = stake × d and profit = stake × (d − 1) on each side; implied probability p = 100 ÷ d; overround = p₁ + p₂ − 100; hold = 100 − 10,000 ÷ (p₁ + p₂) percent.
- The same stake goes on each side, shown side by side; each is a separate single bet.
- The line has exactly two outcomes (no draw). For three or more outcomes, use the no-vig calculator.
- Results are mathematics, not betting advice.
Worked examples
Each example is checked against the calculator on every build.
- Odds format American, Odds on side 1 -150, Odds on side 2 +130, Stake $100.00 gives Payout on side 1 $166.67, Profit on side 1 $66.67, Payout on side 2 $230.00, Profit on side 2 $130.00, Implied probability, side 1 60%, Implied probability, side 2 43.478261%, Overround 3.478261%, Bookmaker’s margin (hold) 3.361345%.Source: hand calculation in content.mdx: d = 5/3 and 23/10; 3/5 + 10/23 = 119/115; hold 1 − 115/119 = 4/119
- Odds format American, Odds on side 1 -110, Odds on side 2 -110, Stake $110.00 gives Payout on side 1 $210.00, Profit on side 2 $100.00, Implied probability, side 1 52.380952%, Overround 4.761905%, Bookmaker’s margin (hold) 4.545455%.Source: hand calculation in content.mdx: 22/21 − 1 = 1/21 = 4.76%; hold 1 − 21/22 = 1/22 = 4.55%
- Odds format Decimal, Odds on side 1 2, Odds on side 2 2, Stake $50.00 gives Payout on side 1 $100.00, Payout on side 2 $100.00, Overround 0%, Bookmaker’s margin (hold) 0%.Source: hand calculation in content.mdx: a fair even-money line has no margin
How it works
Each side’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.
For the stake S on each side:
- Payout = S × d, profit = S × (d − 1)
- Implied probability p = 100 ÷ d percent
- Overround = p₁ + p₂ − 100 (percentage points)
- Hold = 100 − 10,000 ÷ (p₁ + p₂) percent
Why the hold formula works. Suppose people bet so that each side pays the same total X. The stake on side i is X ÷ dᵢ, so the total staked is X × (1/d₁ + 1/d₂). The bookmaker pays out X whichever side wins, and keeps the rest: 1 − 1 ÷ (1/d₁ + 1/d₂) of the money staked.
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.
Assumptions
- Two outcomes only, with the same stake shown on each side.
- No taxes, fees or commission.
Worked examples by hand
−150 / +130, stake 100. Side 1: d = 1 + 100 ÷ 150 = 5/3, payout 100 × 5/3 = 166.67, profit 66.67, implied probability 3/5 = 60%. Side 2: d = 1 + 130 ÷ 100 = 23/10, payout 230, profit 130, implied probability 10/23 = 43.48%. The sum is 3/5 + 10/23 = 119/115 = 103.48%, so the overround is 3.48% and the hold is 1 − 115/119 = 4/119 = 3.36%.
−110 / −110, stake 110. Each side: d = 21/11, payout 110 × 21/11 = 210, profit 100, implied probability 11/21 = 52.38%. The sum is 22/21, so the overround is 1/21 = 4.76% and the hold is 1 − 21/22 = 1/22 = 4.55%.
Decimal 2 / 2, stake 50. Each side pays 100. The implied probabilities are 50% and 50%, so the overround and the hold are 0.
A note on betting
These results are mathematics, not advice. Every bet can lose, and the odds include the bookmaker’s margin. 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 do I read a moneyline such as −150 / +130?
The minus side is the favourite: you stake 150 to win 100. The plus side is the underdog: a 100 stake wins 130. A 100 stake pays 166.67 in total on the favourite and 230 on the underdog.
What is the bookmaker’s margin or hold?
It is the share of the money staked that the bookmaker keeps when the bets on both sides pay out the same amount. For −110 on both sides it is 1/22, about 4.55%.
What is the difference between the overround and the hold?
The overround is how far the implied probabilities add up past 100% (4.76% for −110 / −110). The hold is the same margin measured as a share of the money staked (4.55%). The hold is always a little smaller.
Why do the two implied probabilities add up to more than 100%?
Because the odds on each side are shorter than fair odds. The extra over 100% is the bookmaker’s margin. A fair line, such as decimal 2.0 on both sides, adds up to exactly 100%.
What if the implied probabilities add up to less than 100%?
Then the overround and hold are negative. This happens when the two odds come from different bookmakers and leave room for an arbitrage. The arbitrage calculator shows the stakes for that case.