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Roul 8: Roulette Side Bet
Introduction
I encountered a side bet called Roul 8 at the Grand Casino in Brussels, which utilizes three unique dice. The outcomes are based on the roll of these dice and whether the roulette ball lands on the number 8.
Rules
- This game is compatible with any traditional roulette wheel.
- Adjacent to the betting sections for red and black, there's a designated area for placing bets on Roul 8.
- The game employs three dice, each featuring five blank faces and one face adorned with an infinity symbol. I will refer to these as Infinity Dice, which may remind some of the blackjack side bet. Perfect 11\"s also uses them.
- These dice are housed within a dome that shakes, creating a dynamic rolling effect, similar to a mechanism from a game that those born in the 1960s might recall. Pop-O-Matic Every time there’s a spin, the Pop-O-Matic mechanism will activate to agitate the dice.
- Winnings are based on how many dice show the ∞ symbol and whether the ball has landed on the number 8. You can find the pay structure detailed below.
- Below is the pay structure for Roul 8, with the payouts listed on a 'for one' basis.
The following chart displays the probabilities and returns for a single-zero roulette game, where the bottom right cell indicates a return of 94.54%, resulting in a house edge of 5.46%.
Roul 8 Pay Table
Ball in 8 | ∞ Dice | Pays |
---|---|---|
Yes | 3 | 888 |
Yes | 2 | 88 |
Yes | 1 | 8 |
Yes | 0 | 4 |
No | 3 | 88 |
No | 2 | 2 |
No | 1 | 0 |
No | 0 | 0 |
Analysis
This next chart illustrates the probabilities and returns for a double-zero roulette game, where the bottom right cell reveals a return of 93.49%, which translates to a house edge of 6.51%.
Return Table — Single Zero
Ball in 8 | ∞ Dice | Pays | Combinations | Probability | Return |
---|---|---|---|---|---|
Yes | 3 | 888 | 1 | 0.000125 | 0.111111 |
Yes | 2 | 88 | 15 | 0.001877 | 0.165165 |
Yes | 1 | 8 | 75 | 0.009384 | 0.075075 |
Yes | 0 | 4 | 125 | 0.015641 | 0.062563 |
No | 3 | 88 | 36 | 0.004505 | 0.396396 |
No | 2 | 2 | 540 | 0.067568 | 0.135135 |
No | 1 | 0 | 2,700 | 0.337838 | 0.000000 |
No | 0 | 0 | 4,500 | 0.563063 | 0.000000 |
Total | 7,992 | 1.000000 | 0.945445 |
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Return Table — Double Zero
Ball in 8 | ∞ Dice | Pays | Combinations | Probability | Return |
---|---|---|---|---|---|
Yes | 3 | 888 | 1 | 0.000122 | 0.108187 |
Yes | 2 | 88 | 15 | 0.001827 | 0.160819 |
Yes | 1 | 8 | 75 | 0.009137 | 0.073099 |
Yes | 0 | 4 | 125 | 0.015229 | 0.060916 |
No | 3 | 88 | 37 | 0.004508 | 0.396686 |
No | 2 | 2 | 555 | 0.067617 | 0.135234 |
No | 1 | 0 | 2,775 | 0.338085 | 0.000000 |
No | 0 | 0 | 4,625 | 0.563475 | 0.000000 |
Total | 8,208 | 1.000000 | 0.934942 |