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Triple-zero roulette: 39 pockets and the paytable

Understand the extra pocket, derive the ordinary 7.69% edge and check special green-area wagers separately.

Triple-zero roulette adds a third house pocket to the 36 numbered outcomes. That pocket can carry 000 or a logo. Nevada's published Venetian Roulette rules describe a 39-pocket game with a wagerable logo pocket. Its label does not replace the need to read the payout table.

Keep payouts fixed and add a losing outcome

Under a 39-pocket game with 18 red numbers and a 1-to-1 red payout, red wins on 18 outcomes and loses on 21. Expected profit per chip is 18/39 minus 21/39, or −3/39. The house edge is about 7.69%.

Scroll to compare all columns

Ordinary red wagerWinning pocketsLosing pocketsExpected loss per chip
Single zero18191/37, about 2.70%
Double zero18202/38, about 5.26%
Triple zero18213/39, about 7.69%

Those rows hold payouts and zero treatment constant. Multipliers, altered payments or special returns require another calculation.

A straight-up winner can still pay 35 to 1

The cited Venetian rules keep a 35-to-1 straight-up payout. A one-chip wager on one of 39 equally likely pockets returns 36 chips on a hit. Expected return is 36/39, giving the same 3/39 expected loss as ordinary red.

Across 390 total chips wagered on those standard bets, expected loss is 30. Turnover means all stakes added together; this is not a forecast that a 390-chip starting balance loses exactly 30.

Green-area wagers need their own accounting

The Venetian rules include a green outside wager covering the three house pockets at 11 to 1 and a two-zero courtesy line at 17 to 1. They also list a five-number top line at 6 to 1. These selections cover different sets. “Green” does not mean the same wager on every wheel.

Count the selected outcomes and apply the posted profit payout. Our probability guide shows the arithmetic, while zero and double zero explains exclusions from outside groups. This is a rules comparison, not a claim about current table availability at a venue.

Sources and scope
  • Roulette probability derivation. Amenti Labs LLC. Fair independent pockets, fixed payouts, full outside loss on zero. Formula and all supported bets regression tested.

    Publication date: 2026-11-07. Checked 2026-11-07.

  • Venetian Roulette Rules. Nevada Gaming Control Board. Game-specific39-pocket rule sheet:35to1 straightup, ordinary fixedpayouts, logo pocket, threegreen outside wager11to1, courtesyline17to1 and five-numbertopline6to1. No current venue inventory or tableminimum claim.7.69% ordinaryedge is derived from39 equal outcomes and these fixedpayouts.

    Publication date: not stated. Checked 2026-11-08.

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