How does a Dice calculator turn a win chance into a multiplier?

With the published rule multiplier = 99 ÷ chance, which is what a 99% RTP means: at 49.5% the multiplier is 2.0000×, at 2% it is 49.50×. Both return 0.99 per unit staked on average, so both lose 1% of the stake per bet in expectation.

Is a 49.5% Dice bet really 49.5%?

Under the Stake scheme there are 10,001 rolls, 0.00 through 100.00. A bet on rolls under 49.50 covers 4,950 of them, 49.4951%; paid at 2.0000× that returns 0.98990 per unit rather than 0.99. Whether an operator quotes the target or the exact share as the chance is in its own rules; the difference is one part in 10,001.

Does the calculator say what to bet?

No. It converts between chance, multiplier and payout under a stated rule and shows that the expected loss is 1% of the stake at every setting. Nothing here changes that figure; a losing run at any chance is a property of the odds, which the streak calculator quantifies.

Dice calculator: win chance, multiplier and payout

A Dice calculator converts between win chance, multiplier and payout. Under the 99% RTP rule Stake and Shuffle publish, the multiplier is 99 ÷ chance: 49.5% pays 2.0000×, 2% pays 49.50×, and a stake of 10 at 49.5% returns 20.00 on a win. The expected loss is 1% of the stake whatever the chance. Type a chance or a multiplier below; the URL carries your inputs.

Disclosure: VerifyRoll is sponsored by Craze, a competitor of Stake and Shuffle, whose published 99% Dice rule is modelled. Figures here are computed or taken from what operators publish, dated; nothing is estimated.

inputs

Win chance (%)

0.01 to 99. Changing this sets the multiplier.

Multiplier (×)

1.00 to 9,900. Changing this sets the chance.

Stake (any unit)

Payout and profit are shown in the same unit.

presets

Model: the 99% RTP Dice rule published by Stake and Shuffle, multiplier = 99 ÷ chance. Operators round the displayed multiplier; check the game panel.

See the maths

A Dice bet at win chance c (in %) on a game published at 99% RTP pays 99 ÷ c per unit staked. The expected return is the multiplier times the chance:

multiplier = 99 / c = 99 / 49.5000 = 2.0000×
E[return per unit] = multiplier × c / 100 = 2.0000 × 0.495000 = 0.99
E[loss per unit]   = 1 − 0.99 = 0.01   (1%)

The chance cancels out, so the 1% is the same at every setting. Choosing 2% or 90% changes how often you win, not what you lose on average.

The 10,001st roll. Under the Stake scheme the roll is floor(float × 10001) ÷ 100, so 0.00 and 100.00 are both possible: 10,001 equally likely outcomes. A bet on rolls strictly under a target t covers t × 100 of them:

P(roll < 49.50) = 4,950 / 10,001 = 49.4951%
paid at 2.0000×: return = 0.98990 per unit

If an operator quotes the chance as the target itself, the exact share is one part in 10,001 lower than the quoted figure, and the return is 0.98990 rather than 0.99. The difference is 0.0099% of the stake. Whether that is how a given operator maps targets to chances is stated in its own game rules; the verifier shows the roll, not the quote. See how the roll is derived.

result49.50% · 2.0000× · stake 10.00

A 49.50% win chance pays 2.0000×. A stake of 10.00 returns 20.00 on a win, a profit of 10.00, and loses 10.00 otherwise. Expected result per bet: −0.1000.

win chance

49.50%

1 in 2.02

multiplier

2.0000×

99 ÷ chance

payout on a win

20.00

profit 10.00

expected return

9.9000

stake × 0.99

expected loss

0.1000

1% of the stake, at every chance

odds against

1.02 to 1

(1 − p) ÷ p

common chancesstake 10.00

chance	multiplier	payout	profit	1 in
2.00%	49.5000×	495.00	485.00	50.0
5.00%	19.8000×	198.00	188.00	20.0
10.00%	9.9000×	99.00	89.00	10.0
20.00%	4.9500×	49.50	39.50	5.00
25.00%	3.9600×	39.60	29.60	4.00
33.00%	3.0000×	30.00	20.00	3.03
49.50%	2.0000×	20.00	10.00	2.02
50.00%	1.9800×	19.80	9.80	2.00
66.00%	1.5000×	15.00	5.00	1.52
75.00%	1.3200×	13.20	3.20	1.33
90.00%	1.1000×	11.00	1.00	1.11
95.00%	1.0421×	10.42	0.42	1.05

Every row returns 0.99 × stake on average. For how often a losing run appears at a given chance, use the streak calculator.

examples · stake 10multiplier = 99 ÷ chance

chance	multiplier	payout on a win	exact share, roll under target	expected loss
2.00%	49.5000×	495.00	200 / 10,001 = 1.9998%	0.10
10.00%	9.9000×	99.00	1,000 / 10,001 = 9.9990%	0.10
25.00%	3.9600×	39.60	2,500 / 10,001 = 24.9975%	0.10
49.50%	2.0000×	20.00	4,950 / 10,001 = 49.4951%	0.10
75.00%	1.3200×	13.20	7,500 / 10,001 = 74.9925%	0.10
90.00%	1.1000×	11.00	9,000 / 10,001 = 89.9910%	0.10

Computed at build time from the same functions as the calculator. The exact-share column counts rolls strictly under a target equal to the chance, out of 10,001 equally likely rolls.

Loading calculator…

questions

How does a Dice calculator turn a win chance into a multiplier?: With the published rule multiplier = 99 ÷ chance, which is what a 99% RTP means: at 49.5% the multiplier is 2.0000×, at 2% it is 49.50×. Both return 0.99 per unit staked on average, so both lose 1% of the stake per bet in expectation.
Is a 49.5% Dice bet really 49.5%?: Under the Stake scheme there are 10,001 rolls, 0.00 through 100.00. A bet on rolls under 49.50 covers 4,950 of them, 49.4951%; paid at 2.0000× that returns 0.98990 per unit rather than 0.99. Whether an operator quotes the target or the exact share as the chance is in its own rules; the difference is one part in 10,001.
Does the calculator say what to bet?: No. It converts between chance, multiplier and payout under a stated rule and shows that the expected loss is 1% of the stake at every setting. Nothing here changes that figure; a losing run at any chance is a property of the odds, which the streak calculator quantifies.

Every figure on this page is computed in your browser from the inputs shown. The URL carries the inputs, so a copied link reproduces the result. Last reviewed 2026-09-23.

Dice calculator: win chance, multiplier and payout

Craze publishes RTP on every game and runs its own provably fair Originals.