How Is Neon Run Probability Calculated? 20-Tile Survival and 98% RTP

Direct answer

Neon Run is a finite route without replacement. Every cleared tile was safe, so the remaining pool shrinks while unresolved hazards remain, changing conditional risk.

Quick facts

Route

20 tiles

Hazards

1 / 3 / 5 / 10

Survival

C(20−d,k)/C(20,k)

Multiplier

0.98/S(k)

01

Why the hazard rate is not fixed

A round starts with d hazards and 20−d safe tiles. Every cleared tile is known to be safe, so after k safe steps there are 20−k unresolved tiles while all d hazards remain.

The conditional next-step hazard probability is therefore d/(20−k), which rises as safe tiles are removed.

02

Survival through k steps

Exact survival is S(k)=C(20−d,k)/C(20,k), equivalent to multiplying the successive conditional safe probabilities.

With Medium difficulty and three hazards, step-one survival is17/20=85%; after that safe step, the next safe probability is16/19≈84.2105%.

03

The 98% RTP multiplier

The Practice model uses M(k)=0.98/S(k), normalizing each cashout node to the same98% long-run expectation.

Difficulty and distance mainly change hit probability, multiplier shape and variance, not the predictability of a future route.

04

Dash and Observe do not reroll the route

Dash resolves up to two already-fixed cells, so it accepts two-step cumulative risk rather than creating a special reroll. Observe only reports the current conditional hazard chance.

The canonical certification treats Neon Run as an exhaustive finite route: route truth is fixed first, then actions reveal it.

EXAMPLE

Medium · three hazards

• Step 1 survival=17/20=85%
• Step 1 multiplier=0.98/0.85≈1.15294×
• After one safe step, next hazard=3/19≈15.7895%
• First two both safe=17/20×16/19≈71.5789%

Frequently asked questions