Sic Bo Zero-Variance Calculator

A specific Big + Small + Any-Triple stake split makes every Sic Bo roll lose exactly the same fixed amount — no variance, ~96.875% RTP. Useful for low-volatility playthrough washing on sites that offer Sic Bo.

Set your stake

The split

Big
$15.50
total 11–17 (loses on triples), 1:1 payout
Small
$15.50
total 4–10 (loses on triples), 1:1 payout
Any Triple
$1.00
any 1-1-1 … 6-6-6, 30:1 payout
Every possible outcome leaves you with the same net result: −$1.00.
Total wagered: $32.00 RTP: 96.875% House edge: 3.125%

Per-outcome math

Outcome Probability Big Small Triple Net
Reality check. This doesn't beat the casino — it removes variance. You're guaranteed to lose ~3.125% of every wagered dollar. The point is that the loss is predictable rather than swingy, which is what you want when you're clearing playthrough at minimum cost.

How the hedge works

Sic Bo is a three-dice game with 216 possible outcomes (6 × 6 × 6). Every roll is one of three categories:

  • Big — total 11 through 17, but a triple loses (~48.6%)
  • Small — total 4 through 10, but a triple loses (~48.6%)
  • Any Triple — 1-1-1 through 6-6-6 (~2.78%, exactly 6 of 216 outcomes)

Big and Small are mirror-image 1:1 bets that cancel each other out — except on a triple, where they both lose. The "Any Triple" bet pays 30:1, which exactly fills that hole. Putting the right amount on each side turns Sic Bo into a flat-payoff game.

Why the ratio is 15.5 : 15.5 : 1

If you bet $1 on Any Triple at 30:1, a triple wins you $30. To make sure that $30 cancels the simultaneous loss on both Big and Small, those two bets must each be $15.50 — so you lose $15.50 on each side ($31 total) but win $30 on the triple, netting −$1. Plug any non-triple outcome in and you also net −$1, because the win on Big or Small is exactly offset by the matching loss on the other side, plus the $1 lost on the triple bet.

Where this comes from

It's the same idea as covering all 38 numbers on American roulette, or hedging Banker against Player on baccarat. You construct a bet portfolio whose expected value is fixed but variance is zero. Useful when you want the playthrough math to be deterministic — for example, when you're clearing a 1× requirement on bonus SC and want to know exactly what it costs you.

Caveats

  • Casino bet limits. Some sites cap minimum bets at, say, $1 on every area — which means the smallest split is $15.50 / $15.50 / $1, and you can't go lower. Larger splits scale linearly.
  • Rounding. Real interfaces may not allow $15.50 exactly. If you're stuck at integer dollars, the closest hedge is $16 / $16 / $1 — which makes the bet asymmetric (small EV drift) but still extremely low variance.
  • Triple payout. The 30:1 payout assumes the standard "Any Triple" bet. Some platforms pay individual triples (e.g., specifically 4-4-4) at 180:1 instead — that's a different bet, do not substitute.
  • Playthrough credit. Confirm with your platform whether table-game wagers count fully toward SC playthrough — most do, a few apply weighted contribution rates.