Mini Roulette

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Mini Roulette odds, next to the full-size wheel

Mini Roulette's odds feel generous because every bet wins more often than its full-size equivalent. A straight-up hits 1 in 13 rather than 1 in 37. The payouts have been reduced to match, and slightly more than to match, because one pocket in thirteen is a larger slice than one in thirty-seven. Here is every bet with the real numbers.

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Bet by bet, with the half-back rule

Bet Mini: wins / pays / edge European: wins / pays / edge
Straight-up 7.69% / 11:1 / 3.85% 2.70% / 35:1 / 2.70%
Split 15.38% / 5:1 / 3.85% 5.41% / 17:1 / 2.70%
Street 23.08% / 3:1 / 3.85% 8.11% / 11:1 / 2.70%
Corner 30.77% / 2:1 / 3.85% 10.81% / 8:1 / 2.70%
Group of 4 / dozen 30.77% / 2:1 / 3.85% 32.43% / 2:1 / 2.70%
Even-money 46.15% / 1:1 / 3.85% 48.65% / 1:1 / 2.70%
Straight-up on zero 7.69% / 11:1 / 7.69% 2.70% / 35:1 / 2.70%

The Mini edge is flat at 3.85% across the layout because every payout gives up one pocket in thirteen and the half-back rule returns half of that. The zero bet gets no half-back and pays the full 7.69%.

Where the 3.85% comes from

A £1 bet on red: wins 6 of 13 spins (+£1), loses 6 of 13 (−£1), and on the thirteenth loses 50p. Average per spin: (6 − 6 − 0.5) ÷ 13 = −£0.0385. Without the half-back the thirteenth spin would cost the full £1, and the average would be −£0.0769.

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Without the half-back rule

Some versions, and some operators' configurations, do not return half on zero. Then every bet is 7.69%, which is worse than American roulette's 5.26% and among the most expensive standard table bets anywhere. The rules screen is where this is stated. A Mini Roulette game that does not mention the half-back rule should be treated as the expensive version.

Cost per 100 spins at £1

Table Expected loss
European roulette £2.70
Mini Roulette, half-back £3.85
American roulette £5.26
Mini Roulette, no half-back £7.69
Mini Roulette, straight-up on zero £7.69

Variance

Smaller wheel, smaller swings. A straight-up on Mini hits almost three times as often as on the full wheel and pays about a third as much, so a session of number bets is far less lumpy. Droughts are shorter: a specific number missing for 50 spins is a 1.8% event on Mini against 25% on a European wheel. If the appeal of roulette is the big 35:1 moment, Mini does not offer it. If the appeal is frequent small action, it does, at a 1.15-point premium per spin.

The summary

Mini Roulette with the half-back rule costs 3.85% on every bet except zero. That is more than European, less than American, and a reasonable price for a quick game on a small screen if the pace is kept in check. Mini Roulette without the half-back rule costs 7.69% and is not worth sitting at.

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Questions

  1. Are the odds better on Mini Roulette?

    No. The chance of winning any given bet is higher because there are fewer numbers, but the payouts are lower to match, and the zero is a larger share of a 13-pocket wheel. The result is 3.85% against 2.70% on a European table.

  2. Why is 11 to 1 the Mini Roulette straight-up payout?

    Because there are twelve numbers plus zero. A payout of 11 to 1 is what a 12-pocket wheel would justify; the thirteenth pocket is the house's share, softened by the half-back rule.

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