Dice tools

Dice calculator

Win chance, payout and expected loss for any number of bets.

Virtual credits · Local demo and simulation.

Winning rolls: 0.00–49.49. Model RTP: 98.000%.

Checked payout rules. Currency settlement excluded.

Demo and simulation use a statistical model, not live operator results.

Win probability49.5000%
Gross multiplier1.9798x
Expected loss20 credits
At least one winning roll>99.9999%
Single wager and planned turnover
QuantityModel result
Gross return on a winning roll1.98 credits
Net result on a winning roll0.98 credits
Net result on a losing roll-1 credits
Total planned turnover1,000 credits
Expected net result-20 credits

Same bet at other casinos Compare Dice

Assumes all planned bets can be funded; bankroll ruin is not estimated. Gross return includes the stake.

Availability depends on your region.

Three examples, worked out

1. What does 1,000 bets cost? At a 1% house edge, 1,000 funded bets of 1 credit cost 10 credits on average in the illustrative model. A nominal 2% edge gives about 20. BCH.games uses exact mapped probabilities and a rounded multiplier, so the displayed expected loss can differ slightly. Expected loss = total wagered × effective house edge.

2. How long might a 1% chance take to hit? A 1% win chance pays about 99× at a 1% edge. The chance of no win in 100 rolls is 0.99¹⁰⁰ ≈ 37%. You need about 69 rolls for a 50/50 chance of at least one win, and about 459 rolls to be 99% sure.

3. Why a 90% win chance still loses money At 90%, each win pays 1.1× (net +0.1) and each loss costs 1. On average, 9 wins earn 0.9 and 1 loss costs 1: a net −0.1 every 10 rolls, the same 1% edge as any other setting.

The formulas

  • Illustrative win chance = winning results ÷ 10,000
  • Payout = (100% − house edge) ÷ win chance
  • Expected loss = bet × number of bets × effective house edge
  • At least one win in N bets = 1 − (1 − win chance)ᴺ

These assume every bet can be funded. To see how often a bankroll runs out first, use the Dice simulator.

Payout models and roll replays have different scopes. Read how the Dice models work before comparing operators.

FAQ

Which operators can I calculate?

BCH.games has checked payout rules. BC.Game, Duel.com, Duelbits and Stake have reference calculation models with scope shown under Model details. You can also use a custom model with an editable edge.

Why is the BCH.games RTP not exactly 98%?

BCH.games maps a 32-bit value onto 10,000 displayed results, giving some bins slightly more possible inputs, and rounds payouts to four decimals. The calculator accounts for both. The size of the difference from 98% depends on the selected target.

Does a higher win chance reduce expected loss?

In the illustrative model, expected loss at fixed turnover depends on the house edge, not win chance. Captured mapping and payout rounding can create small differences for BCH.games. Sessions that stop early may also complete different turnover.