Dice calculator

Set a win chance or a multiplier and see the other one, the roll target for both directions and what the house edge costs per 100 wagered.

Optional. Pick a casino and a title, and the calculator uses the RTP in our data for it. Only titles with an RTP figure are listed.

A generic value. Change it to the RTP your game shows.

Set the bet by
Direction
Payout multiplier2.00xYou win when the roll lands under 49.50. That happens 49.50% of the time.
Profit when it wins, per 1 bet+1.00
Cost per 100 wagered1.00
Lose 5 in a row3.28%
Lose 10 in a row0.11%

Dice multipliers by win chance

Worked out at an RTP of 99.0%.
Win chanceMultiplierRoll underRoll overWins about
1.00%99.00x1.0099.001 in 100
5.00%19.80x5.0095.001 in 20
10.00%9.90x10.0090.001 in 10
25.00%3.96x25.0075.001 in 4
49.50%2.00x49.5050.501 in 2
50.00%1.98x50.0050.001 in 2
75.00%1.32x75.0025.001 in 1.3
90.00%1.10x90.0010.001 in 1.1
95.00%1.04x95.005.001 in 1.1

How the dice math works

A dice roll lands anywhere on a scale from 0 to 100 with equal chance. You choose how much of that scale counts as a win. The game then pays the fair multiplier for that chance, reduced by the house edge.

multiplier = RTP ÷ win chance
roll under target = win chance × 100
roll over target = 100 − win chance × 100

Worked example

At an RTP of 99.00% and a win chance of 49.50%, the multiplier is 0.99 ÷ 0.495 = 2.00x. Roll under wins below 49.50. Roll over wins above 50.50. Both bets have the same chance and the same payout.

A dice bet at a fixed win chance is the same bet as a limbo target, which the limbo calculator writes as a multiplier. How long a run of losses can get at your win chance is in the losing streak odds, and a finished roll can be recomputed in the provably fair verifier for one bet.

What the dice calculator cannot tell you

  • It cannot say what the next roll will be. Every roll is independent of the ones before it.
  • Games differ by one hundredth at the boundary, because the highest roll is 99.99 in some and 100.00 in others. Check the target your game shows.
  • A lower chance does not improve your return. The multiplier grows exactly as fast as the chance shrinks.

Questions about dice odds

Is roll over better than roll under?

No. For the same win chance both directions pay the same multiplier. The choice changes which part of the scale wins and nothing else.

How much does the RTP change a dice payout?

At a 50% win chance a game with 99.00% RTP pays 1.98x, and a game with 97.00% RTP pays 1.94x. The gap is the same share of the payout at every chance.

Which win chance has the lowest house edge?

None. The edge is the same share of every bet. A 1% chance and a 90% chance cost you the same amount per 100 wagered.

Why can I not set a 99% win chance?

The multiplier is the RTP divided by the chance. Once the chance reaches the RTP, a winning bet would pay back less than the stake, so games stop below that point.

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