Calculate betting ladder payout from your stake, decimal odds, and rungs, or find how many rungs you need to reach a target payout.
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Betting Ladder Formula
A betting ladder rolls the full payout from each winning bet into the next bet. The calculator has two modes: final payout and rungs needed.
Final payout mode
P = S * O^R
Profit = P - S
Multiplier = O^R
Rungs needed mode
R = log(T / S) / log(O)
Rungs Needed = ceil(R)
- S = starting stake
- O = decimal odds per rung
- R = number of rungs
- P = final payout after all rungs win
- T = target payout
- ceil(R) = R rounded up to the next whole rung
In final payout mode, you enter your starting stake, decimal odds, and number of rungs. The calculator compounds the stake by the odds for each rung and shows the final payout, profit, and total multiplier.
In rungs needed mode, you enter your starting stake, target payout, and decimal odds. The calculator solves for the number of rungs required, then rounds up because you cannot place a fraction of a rung.
Common Decimal Odds and Ladder Growth
The table below shows how common decimal odds translate to American odds and how much a stake grows after 5 winning rungs at the same odds.
| Decimal odds | Approx. American odds | 5-rung multiplier | $100 stake after 5 rungs |
|---|---|---|---|
| 1.50 | -200 | 7.59× | $759.38 |
| 1.91 | -110 | 25.45× | $2,545.06 |
| 2.00 | +100 | 32.00× | $3,200.00 |
| 2.50 | +150 | 97.66× | $9,765.63 |
| 3.00 | +200 | 243.00× | $24,300.00 |
Example Betting Ladder Calculations
Example 1: Find the final payout
You start with $100, use decimal odds of 1.91 for each rung, and complete 5 winning rungs.
P = 100 * 1.91^5
P = 2545.06
The final payout is $2,545.06. The profit is $2,445.06.
Example 2: Find the rungs needed
You start with $100, want to reach at least $10,000, and use decimal odds of 2.00 per rung.
R = log(10000 / 100) / log(2.00)
R = 6.64
You need to round up to 7 rungs. At 7 rungs, the payout is $12,800.
Betting Ladder FAQ
What is a rung in a betting ladder?
A rung is one step in the ladder. If the bet wins, the full payout becomes the stake for the next rung. If any rung loses, the ladder stops and the remaining ladder payout is lost.
Does the calculator include the chance of winning each rung?
No. The calculator shows payout growth based on stake, odds, and rungs. It does not calculate the probability of completing the ladder. In practice, each extra rung makes the total ladder harder to complete because every bet must win.
Why does rungs needed round up?
The formula can return a decimal number of rungs, such as 6.64. Since a ladder needs whole bets, the calculator rounds up to 7. Rounding down would leave the final payout below the target.