How Is Dice Probability Calculated? Roll-Over Odds and the 99% RTP Multiplier Formula

Direct answer

In the published LINBEI Dice model, the threshold determines win probability first, then the multiplier is normalized to a 99% RTP target.

Quick facts

Roll-over odds

P(win)=(100−T)/100

Multiplier

M=0.99/P(win)

RTP

99%

House edge

1%

01

Turning a threshold into win probability

For a roll-over threshold T in an idealized continuous 0–100 model, P(win)=(100−T)/100. Raising the threshold leaves a smaller winning interval, so hit probability falls.

T=50 gives 50%, T=75 gives 25%, and T=90 gives 10%.

02

Where the 99% RTP multiplier comes from

With hit probability p, a zero-edge fair multiplier would be 1/p. The LINBEI 99% RTP model applies a 0.99 factor, so M=0.99/p.

At T=50, p=0.5 and M=1.98×. At T=90, p=0.1 and M=9.90×.

03

Threshold and variance

A higher threshold does not increase long-run RTP. It shifts the payout distribution toward lower hit probability and higher multipliers, which generally increases short-run variance.

A 50% hit model and a 10% hit model can therefore share the same 99% RTP while producing very different short-run paths.

04

Each round is still an independent trial

In an independent RNG model, the previous roll does not make the next result more or less likely to cross the same threshold. A long miss streak does not increase p for the next round.

Fairness is better evaluated through the RNG/commitment and published formula than by trying to infer the next result from a streak.

EXAMPLE

Threshold examples

• T=50 → p=50% → M=0.99/0.50=1.98×
• T=75 → p=25% → M=0.99/0.25=3.96×
• T=90 → p=10% → M=0.99/0.10=9.90×

Frequently asked questions