Dice

How Dice math works

No other provably-fair game boils down to fewer moving parts than Dice:

bytes  = first 4 bytes of HMAC(server, "{client}:{nonce}:0")
float  = bytes[0]/2⁸ + bytes[1]/2¹⁶ + bytes[2]/2²⁴ + bytes[3]/2³²
roll   = float · 100                            // range [0.00, 100.00)
mult   = 99 / win_chance%                       // 1% house edge baked in
win    = (mode == "over") ? roll > target : roll < target

That 99 is the whole edge right there. A mathematically fair payout would be 100/win_chance; the operator hands you 99/win_chance instead. Whatever target or mode you pick, expected return sits at −1%, always.

Win chance is identical to expected value

New players trip over this constantly: “under 5” (5% win chance, 19.8× payout) and “under 95” (95% win chance, 1.042× payout) deliver the same long-run expectation of −1%. Variance, though, is a different story entirely.

Pick the 5% side and you win once per 20 rounds at +18.8 units each — mostly losing sessions punctuated by rare spikes. Pick 95% and you cash 19 rounds out of 20 at +0.042 units apiece; the session feels like steady profit until one loss erases roughly 24 wins. The Dice multiplier explorer charts this variance curve in detail.

How operators rig Dice

Here’s the irony: because Dice is so easy to verify, it’s equally easy to tamper with quietly. Patterns documented in the Dirty Tricks book include:

• Multiplier rounding-down: pays 1.98× when the true value is 1.9888×.
• Verify-tool divergence: in-app “verify” button uses a different formula than the production round generator.
• Modulo bias: roll computed as int(bytes) % 10000 with a k-bit domain that doesn’t divide cleanly, biasing low rolls.

Strategy notes

With EV fixed at −1%, no betting pattern short of an operator exploit improves long-term return. What strategy can shape:

1. Variance budget. Kelly-fraction bet sizing on your favorite multiplier doesn’t apply (Dice is −EV), but you can size to survive N rounds with high probability.
2. Time on device. Higher win-chance settings make sessions feel longer and burn the same money over more rounds.
3. Bonus clearing. When wagering bonus money, low-variance high-win-chance Dice clears wagering efficiently — see wagering contribution calculator. Remember that wagering requirements and variance can still eat the bonus value before you finish clearing it.

Frequently asked questions