Dice calculator
This calculator does one sum in both directions: win chance into multiplier, or multiplier into win chance, at the RTP your dice game runs. The RTP box starts at 99, the figure on Stake's dice page. Under the result sit the roll-under and roll-over numbers to copy into the game, plus what $100 in bets costs you on average.
Calculator
- Pays
- 2×49.50% to win, 1 in 2
- Roll under
- 49.50or roll over 50.50, on 0–100
- Cost per $100 bet
- $1.00on average, at any chance
| Multiplier | Win chance | 1 in |
|---|---|---|
| 1.1× | 90.00% | 1.11 |
| 1.5× | 66.00% | 1.52 |
| 2× | 49.50% | 2 |
| 3× | 33.00% | 3 |
| 5× | 19.80% | 5 |
| 10× | 9.90% | 10 |
| 50× | 1.98% | 51 |
| 100.0× | 0.9900% | 101 |
| 1,000× | 0.0990% | 1,010 |
Formula: multiplier = RTP / chance. The house edge (1 − RTP) is the same at every target; only the swings change.
Runs in your browser. Nothing you type is sent or stored.
The three boxes
Both top boxes are live. Put 25 in Win chance and the multiplier reads 3.96. Type 5 into Multiplier instead and the chance drops to 19.8, which is what goes in the game's roll-under field. Useful when a stream shows someone chasing 5× after 5× and you want the odds behind the clip.
Set RTP to whatever your game lists. Change it and the multiplier redraws for the same chance. Win chance runs from 0.01% to 98%, so with RTP at 99 the range tops out at 9,900× and bottoms out at about 1.0102×.
Roll under is your chance written as a target on the 0 to 100 scale. Roll over is the same bet from the other side: 100 minus the chance. The small table lists nine common multipliers, and if one matches your current setting it lights up.
- Multiplier
- RTP ÷ win chance (0.99 ÷ 0.25 = 3.96)
- Win chance
- RTP ÷ multiplier
- Roll under
- win chance in percent
- Roll over
- 100 − win chance in percent
- Cost per $100 bet
- $100 × (1 − RTP), flat across all targets
Worked example: the same 2× at three RTPs
| RTP | Win chance | Roll over | Average cost, $1,000 total bet |
|---|---|---|---|
| 99% | 49.50% | 50.50 | $10 |
| 98% | 49.00% | 51.00 | $20 |
| 97% | 48.50% | 51.50 | $30 |
calc.py, run 2026-11-12.
Half a point of win chance doesn't look like much on the slider. In dollars it doubles or triples the cost of a session. Type 2 into the multiplier box, then flip RTP between 99, 98 and 97, and watch roll over move.
| 99% RTP | 98% RTP | 97% RTP | |
|---|---|---|---|
| Rolls | 18,000 | 18,000 | 18,000 |
| Wagered | $1,800 | $1,800 | $1,800 |
| Average cost | $18 | $36 | $54 |
Assumption, not a measurement: 5 rolls per second for 3,600 seconds. Fast autobet speeds vary by site and device. Cost = wagered × (1 − RTP).
At $0.10 a roll nobody thinks of autobet as expensive. Over that hour, though, $1,800 goes through the game, the edge gets taken from all of it, which is where the $54 at 97% comes from. Your autobet probably runs at a different speed than our 5 a second, so count the rolls in one minute and scale the table. Set the stop-loss in the autobet panel before you press start.
Predictors and betting systems
Every roll comes out of the seeds plus a counter that ticks up once per bet, and none of it remembers the roll before. No chance setting cuts the edge, and betting systems like Martingale only move the losses around. A "dice predictor" that asks for your server seed hash can't reverse it.
18+. No dice target escapes the edge. Before turning on autobet, put a loss limit in its settings. Support: Responsible gaming. We are independent of Stake; every name belongs to its owner.
Questions
What multiplier does a 50% win chance pay?
At 99% RTP, 1.98×. Exactly 2× needs a 49.5% chance.
Is roll over or roll under better?
Neither. Roll over 50.50 and roll under 49.50 have the same chance and pay the same.
Does it work for dice at other casinos?
Yes, if that game also pays RTP ÷ chance. Type the RTP from its rules or fairness page. If a site only shows multipliers, one multiplier times its chance gives you the RTP.
Why is 98% the highest chance?
With RTP at 99, a 99% chance would pay exactly 1×, a bet that can only lose or break even. Dice games cap the chance below that.
Sources
- Stake: Dice game page (Wayback, 24 Oct 2026) · current page on stake.com. RTP 99%, both roll directions. Archived copy; stake.com refuses our fetcher. Checked 12 November 2026
- Stake: provably fair game events (Wayback, 19 Jul 2025). Dice section: a single random float per roll, results between 00.00 and 100.00 Checked 12 November 2026
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