Limbo strategy: the honest maths
How Limbo pays
The round draws one HMAC-SHA256 float and computes 1e8 ÷ (float × 1e8 + 1) × 0.99, floored to two decimals and never below 1.00×. If that number is at least your target, you are paid the target. Because the float is uniform, the probability that the result reaches x is 0.99 ÷ x: the 0.99 is the house edge, applied identically at every target.
What the target does
| Target | P(clear) | Clear, one in | P(10 misses in a row) | Expected rounds per hit | Same as Dice at | Return |
|---|---|---|---|---|---|---|
| 1.10× | 90.0% | 1 in 1.1 | 1.0e-8% | 1.1 | 90% | 99% |
| 1.50× | 66.0% | 1 in 1.5 | 0.002064% | 1.5 | 66% | 99% |
| 2.00× | 49.5% | 1 in 2.0 | 0.11% | 2 | 49.5% | 99% |
| 3.00× | 33.0% | 1 in 3.0 | 1.82% | 3 | 33% | 99% |
| 5.00× | 19.8% | 1 in 5.1 | 11.01% | 5.1 | 19.8% | 99% |
| 10.00× | 9.9% | 1 in 10 | 35.26% | 10.1 | 9.9% | 99% |
| 50.00× | 2.0% | 1 in 51 | 81.87% | 50.5 | 1.98% | 99% |
| 100.00× | 0.9900% | 1 in 101 | 90.53% | 101 | 0.99% | 99% |
| 1,000.00× | 0.0990% | 1 in 1,010 | 99.01% | 1,010.1 | 0.1% | 99% |
What staking plans do at low targets
Martingale is built for 2× payouts, where doubling recovers a loss exactly. At a lower target the recovery stake is larger than a double. To win back L at a payout of x you must stake L ÷ (x − 1), so total exposure grows by a factor x ÷ (x − 1) per loss: 2× at 2×, but 11× at 1.1×.
| Losses in a row | Lost so far | Stake needed next to get back to even | Fits a 1,000 bankroll? |
|---|---|---|---|
| 1 | 10 | 100 | yes |
| 2 | 110 | 1,100 | no |
| 3 | 1,210 | 12,100 | no |
| 4 | 13,310 | 133,100 | no |
The simulator doubles after a loss, which at 1.1× does not even recover the previous stake, so its martingale at that target loses slowly on both the wins and the losses. Run martingale at the Dice equivalent of 1.1× and watch the median session drift down; then run it at 2×, where the wall from the Dice guide applies; then flat-bet the nearest Dice equivalent of 1,000× for 1,000 rounds, where most sessions never see a win and a few see a very large one. All three report the realised return on turnover near −1%.
Raising the target after a loss and waiting for a low result before betting high are the other common ideas. Each round is a fresh float with no memory, and every target has the same expectation, so both change the next round's shape and nothing about its worth.
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Questions
- What is the best target multiplier in Limbo?
- In expectation there is none: the chance of clearing target x is 0.99 ÷ x, so chance times payout is 0.99 at every target. A 1.1× target hits 90% of rounds; 1,000× hits 1 in 1,010 rounds and you should expect to wait about 1,010 rounds between hits. The average is identical; only the wait and the size of the payday differ.
- Does martingale work on Limbo at 1.1×?
- Worse than on a 2× game. Doubling only recovers a loss when the win pays 2×. At 1.1× a win returns 0.1 of the stake in profit, so recovering a lost stake needs ten times that stake next round: the ladder is 100, 1,100, 12,100 after one, two and three losses from a 10 base. A 1,000 bankroll affords 1 recovery, and a run of 2 losses at 1.1× appears in 84% of 200-round sessions.
- Is Limbo the same bet as Dice?
- Yes, in a different unit. Dice lets you pick a chance and pays 99 ÷ chance; Limbo lets you pick a payout x and wins with chance 99 ÷ x percent. Target 2× on Limbo is a 49.5% chance, exactly the 49.5% Dice roll that pays 2×. Everything in the Dice guide, including the martingale wall, transfers directly.
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Last reviewed 2026-09-27