Calculate double chance bet return, stake, or missing 1X2 odds for 1X, X2, or 12 betting markets from decimal odds and stake inputs.
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Double Chance Bet Formula
The double chance bet calculator estimates the double chance decimal odds from the three standard 1X2 decimal odds, then uses those odds to calculate the missing value. A double chance bet covers two of the three possible match outcomes.
p_1 = 1/O_1,\quad p_X = 1/O_X,\quad p_2 = 1/O_2
Overround = p_1 + p_X + p_2
For each double chance type, the estimated double chance odds are:
O_{DC,1X} = Overround / (p_1 + p_X)O_{DC,X2} = Overround / (p_X + p_2)O_{DC,12} = Overround / (p_1 + p_2)The return and stake formulas are:
Total\ Return = Stake * O_{DC}Stake = Total\ Return / O_{DC}- O1 = Team 1 win decimal odds
- OX = Draw decimal odds
- O2 = Team 2 win decimal odds
- p1 = implied probability of Team 1 winning
- pX = implied probability of a draw
- p2 = implied probability of Team 2 winning
- ODC = estimated double chance decimal odds
- Stake = amount wagered
- Total Return = payout including the original stake
If you leave the total return blank, the calculator finds the estimated double chance odds and multiplies them by your stake. If you leave the stake blank, it divides the target return by the estimated double chance odds. If you leave one of the 1X2 odds blank, it uses the stake and return to find the implied double chance odds, then rearranges the same probability formula to solve for the missing decimal odds.
Double Chance Bet Types
| Selection | Outcomes Covered | Bet Wins If | Bet Loses If |
|---|---|---|---|
| 1X | Team 1 or Draw | Team 1 wins or the match ends in a draw | Team 2 wins |
| X2 | Draw or Team 2 | The match ends in a draw or Team 2 wins | Team 1 wins |
| 12 | Team 1 or Team 2 | Either team wins | The match ends in a draw |
Decimal Odds and Implied Probability
| Decimal Odds | Implied Probability | Return on $100 Stake |
|---|---|---|
| 1.25 | 80.00% | $125 |
| 1.50 | 66.67% | $150 |
| 2.00 | 50.00% | $200 |
| 3.00 | 33.33% | $300 |
Example Calculations
Example 1: Calculate total return for a 1X double chance bet
Suppose you enter:
- Double chance type: 1X
- Stake: $100
- Team 1 odds: 2.50
- Draw odds: 3.20
- Team 2 odds: 2.90
Convert the odds to implied probabilities:
p_1 = 1/2.50 = 0.4000
p_X = 1/3.20 = 0.3125
p_2 = 1/2.90 = 0.3448
For 1X, the included probability is Team 1 plus Draw:
O_{DC} = (0.4000 + 0.3125 + 0.3448) / (0.4000 + 0.3125) = 1.4833Total\ Return = 100 * 1.4833 = 148.33
The estimated total return is $148.33.
Example 2: Calculate stake for a 12 double chance bet
Suppose you enter:
- Double chance type: 12
- Total return: $160
- Team 1 odds: 2.50
- Draw odds: 3.20
- Team 2 odds: 2.90
The estimated 12 double chance odds are:
O_{DC} = (0.4000 + 0.3125 + 0.3448) / (0.4000 + 0.3448) = 1.4196Now divide the target return by the double chance odds:
Stake = 160 / 1.4196 = 112.71
The required stake is approximately $112.71.
FAQ
Does total return include the original stake?
Yes. With decimal odds, total return includes your original stake. For example, a $100 stake at decimal odds of 1.50 returns $150 total. That is $100 stake plus $50 profit.
Why might the estimated double chance odds differ from sportsbook odds?
The calculator estimates double chance odds from the 1X2 market by using implied probabilities and the market overround. A sportsbook may price the double chance market separately, adjust margins differently, or move the price based on demand. Because of that, the calculated value should be treated as an estimate based on the 1X2 odds you enter.
Why does the calculator reject some missing-odds calculations?
Some combinations of stake, return, and odds are not mathematically possible. For example, if the implied double chance odds from return divided by stake are too low or force a negative implied probability, there is no valid decimal odd greater than 1 that can satisfy the formula.