Limbo at Tonza: the chance is exactly one divided by your target

Limbo at Tonza: the chance is exactly one divided by your target

Limbo is a game of a single decision. You name a target up front — 2×, 10×, 137.50×, anything from 1.01 to a million. The round throws out a multiplier, and if it reached your target, your stake is multiplied by it. No board, no choices along the way.

Odds you can compute in your head

The probability that a round reaches target x is exactly 1/x. Half of all rounds reach 2×, a quarter reach 4×, one in a hundred reaches 100×. This is neither an approximation nor a tuning: the round's multiplier is built as one divided by a uniform random number, and that distribution yields exactly this probability.

The simplicity has a useful consequence: you never need the panel to know your odds. Divide one by your target. It is a rare case where a player can check a stated probability mentally, taking nothing on trust.

Payout and return

The payout follows the formula shared by all our games — (1 − house edge) divided by the chance. Since the chance is 1/x, the payout is simply (1 − edge) × x. At the current 2% edge:

TargetChancePayoutOn a $10 stake
1.50×66.67%1.47×$14.70
50.00%1.96×$19.60
33.33%2.94×$29.40
20.00%4.90×$49.00
10×10.00%9.80×$98.00
100×1.00%98.00×$980.00
1000×0.10%980.00×$9,800.00

As in our other games, chance times payout equals 0.98 everywhere. The return is 98% at any target. The target shapes the path, not its destination.

How Limbo differs from Crash

The mathematics is identical; the feel is not, and the difference is worth understanding before choosing between them.

In Crash the round is shared and unfolds over time: the multiplier climbs in front of you and the decision to cash out is made mid-flight. In Limbo the decision is made once, before the round, and the result appears instantly. Crash lets you change your mind and punishes greed in real time; Limbo does neither — you named your target, and nothing after that depends on you.

A practical consequence: in Limbo it is impossible to be "too late". Connection, reaction and lag affect nothing. Players on poor connections are better served here.

The cap and what it means

The maximum target is 1,000,000×, which is also the cap on the displayed multiplier. Anything higher is meaningless: the chance of reaching it would be under one in a million, and rounds would stop being distinguishable from never.

Separately, there is a per-round payout ceiling across all Tonza Originals. In fair play it never triggers — it is a safeguard against an error in a payout table, not a hidden limit on winnings, and reasonable stakes never approach it.

Near-certain targets and bonuses

A 1.05× target carries roughly 95% odds — a near-guaranteed return. Such rounds clear a bonus at a reduced weight: from 90% odds at a factor of 0.2, from 75% at 0.5. Ordinary play is untouched: targets of 1.34× and above count in full.

How to verify a round

Limbo verifies like any standard provably-fair game: the server seed, your client seed and the bet's nonce produce a signature, the signature produces a number, and the number produces the round's multiplier as one divided by it, rounded down to two decimals. Any past round can be recomputed once the server seed has been rotated — see how to verify your round.

Worth remembering

  • The chance is 1/target — checkable in your head, no panel required.
  • 98% return at any target: variance changes, value does not.
  • Rounds are independent: "no 100× for ages" means nothing.
  • Reaction and connection affect nothing — unlike in Crash.

Worth reading