Limbo's math is genuinely simple and fully published. The house edge is 1% (RTP 99%) at every target you choose. The hit chance for any target is given by a single formula, and the variance you experience is purely a function of how far your target sits from x1.00. Understanding the formula is the difference between guessing your way through Limbo and playing it as a tool.
The formula in one line
Probability of hitting a target T = 99 / T, expressed as a percentage. Target x1.01 → 99/1.01 = 98.02% hit chance. Target x2 → 99/2 = 49.5%. Target x100 → 99/100 = 0.99%. Target x10,000 → 99/10,000 = 0.0099%. The 99 in the numerator is exactly the 99% RTP — Stake explicitly takes the theoretical "fair" probability (100/T) and scales it by 0.99 to produce the 1% edge. No hidden adjustments, no dynamic weighting, no funny business. The formula holds from x1.01 all the way up to the x1,000,000 cap.
Why expected value is identical at every target
At target T with hit chance P = 99/T (in decimal, not percent), the expected return per $1 wagered is P × T = (0.99/T) × T = 0.99. Every target returns exactly 99 cents of expected value on every dollar. A $10 bet at x1.01 and a $10 bet at x1,000 both have the same expected outcome: a 1 cent house take on average. The x1.01 player sees that 1 cent taken in tiny, frequent sips; the x1,000 player sees it taken in rare, violent bursts. The aggregate result over enough rounds is identical.
Where variance comes from
- Variance = (payout − 1)² × probability of win + 1 × probability of loss. At x1.01 this is roughly 0.0002 per round; at x100, it is about 98 per round. That is a 500,000× difference in variance at identical expected value, which is why the same 99% RTP can feel like a boring volume machine at one target and a lottery at another.
- Low variance grows the role of rebates. When variance is small, the 99% RTP dominates your session outcome. Add Bronze-level rakeback on top and the effective return per wager moves materially above 99% — often to 99.5% or higher at Platinum with reload stacked on.
- High variance means the outcome is nearly pure luck. At x100 or above, the rebate stack is still real but swamped by session-to-session noise. You might win $5,000 one Saturday and lose $5,000 the next — the rebate flow is the same steady stream beneath both, but it is a rounding error on each individual evening.
Provably fair — you can verify every round yourself
Every Limbo round is generated from a server seed (committed in advance), a client seed (which you can change at will), and a nonce (the round number). After a session you can rotate the server seed, reveal the prior seed, and recompute every single round result yourself. The math of turning those hashes into a final multiplier is documented in Stake's fairness page. For a deeper technical walkthrough of how provably fair works on every Stake Original, see our Dice math guide — the mechanism is the same across Dice, Mines, Plinko and Limbo.