GAME MATH LIBRARY

How Is Tower Probability Calculated? Eight-Level Survival, Difficulty, and 96% RTP

Each Tower difficulty fixes a safe-tile ratio. Within that difficulty, surviving k levels has probability p^k and the corresponding multiplier is 0.96/p^k.

Wavelet Intelligence · 2026-09-25

Direct answer

Each Tower difficulty fixes a safe-tile ratio. Within that difficulty, surviving k levels has probability p^k and the corresponding multiplier is 0.96/p^k.

Quick facts

Levels
8
Single-floor success
p=safe/total
Survive k
p^k
Multiplier
0.96/p^k

01

Difficulty sets the single-floor probability

Easy uses 3 safe tiles out of 4 for 75%; Medium uses 2/3; Hard 1/2; Expert 1/3; Master 1/4.

Within one difficulty the same single-floor ratio applies at each level. Difficulty changes the risk shape rather than assigning account-specific odds.

02

Why cumulative survival is p^k

Clearing k floors requires k consecutive successes, so P(survive k)=p^k when every floor uses the same success probability p.

Easy through two floors is 0.75²=56.25%. Hard through all eight floors is 0.5⁸=1/256≈0.390625%.

03

Where the 96% RTP multiplier comes from

LINBEI Tower uses M(k)=0.96/P(survive k), so expected payout at a cashout node is P(survive k)×M(k)=0.96.

That is a long-run expectation. Higher difficulty usually packages the same target into fewer hits and larger multipliers, increasing variance.

04

Previous outcomes do not change the next floor

A fixed probability model does not raise the next-floor safe ratio after a loss, a hazard streak or a balance change.

Fairness is better checked through server RNG, commit/reveal, round state and the published formula than through short-run pattern reading.

EXAMPLE

Easy and Hard examples

  • Easy level 1: P=0.75 → M=0.96/0.75=1.28×
  • Easy level 2: P=0.75²=56.25% → M≈1.7067×
  • Hard level 8: P=0.5⁸=0.390625% → M=245.76×

Frequently asked questions

Does each floor become less safe as the Tower gets higher?

Not within one difficulty. The single-floor probability stays fixed; cumulative survival falls because more successful steps are required.

Does Master difficulty increase RTP?

No. It mainly increases variance while the canonical multiplier remains normalized to a 96% target RTP.

Does 96% RTP mean one full climb returns 96%?

No. RTP is a long-run expectation across many rounds, not a promise for one climb.