Last Updated: July 21, 2018

# Triple Flop Roulette

## Introduction

Triple Flop Roulette is a cross between poker and roulette. It was meant for markets like California and Oklahoma, where roulette played with a wheel is illegal. However, it found a placement at the Orchid casino in Aruba.

## Rules

1. A 38-card deck is used, which consists of all ranks from six to ace and two jokers of different colors.
2. All the conventional roulette bets are available, except players bet on the 38 cards instead of numbers. The "roulette" bets are also laid out on the table as in conventional roulette.
3. All wins are on a "to one" basis.
4. In addition, the following poker bets are available:
• Royal Jackpot: Pays 1000 for a natural royal in diamonds, 250 for all other natural royals, and 100 for a wild royal.
• Three of a Kind: Pays 50 to 1.
• Straight Flush: Pays 40 to 1. This bet wins on a straight flush or royal flush.
• Flush: Pays 11 to 1. This bet wins on a flush, straight flush or royal flush.
• Straight: Pays 7 to 1. This bet wins on a straight, straight flush or royal flush.
• Pair: Pays 5 to 1 for a pair of aces and 2 to 1 for a pair of sixes to kings.
5. The roulette bets will be paid based on the first of three cards drawn by the dealer.
6. All poker bets will be paid based on the card used for the roulette bets as well as the next two in the deck.
7. For purposes of the poker bets only, both jokers are wild.

If you're confused, following are scans of the rule card. Click either image for a larger version.

## Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Royal Jackpot bet. The lower right cell shows a house edge of 36.11%.

### Royal Jackpot

Event Pays Combinations Probability Return
Natural royal in diamonds 1000 1 0.000119 0.118540
All other natural royals 250 3 0.000356 0.088905
Wild royal 100 36 0.004267 0.426743
All other -1 8,396 0.995258 -0.995258
Total   8,436 1.000000 -0.361072

The following table shows the probability and contribution to the return for all possible outcomes of the Straight Flush bet. The lower right cell shows a house edge of 10.57%.

### Straight Flush

Event Pays Combinations Probability Return
Win 40 184 0.021811 0.872451
Loss -1 8,252 0.978189 -0.978189
Total   8,436 1.000000 -0.105737

The following table shows the probability and contribution to the return for all possible outcomes of the Three of a Kind bet. The lower right cell shows a house edge of 12.94%.

### Three of a Kind

Event Pays Combinations Probability Return
Win 50 144 0.017070 0.853485
Loss -1 8,292 0.982930 -0.982930
Total   8,436 1.000000 -0.129445

The following table shows the probability and contribution to the return for all possible outcomes of the Flush bet. The lower right cell shows a house edge of 6.12%.

### Flush

Event Pays Combinations Probability Return
Win 11 660 0.078236 0.860597
Loss -1 7,776 0.921764 -0.921764
Total   8,436 1.000000 -0.061166

The following table shows the probability and contribution to the return for all possible outcomes of the Straight bet. The lower right cell shows a house edge of 8.58%.

### Straight

Event Pays Combinations Probability Return
Win 7 964 0.114272 0.799905
Loss -1 7,472 0.885728 -0.885728
Total   8,436 1.000000 -0.085823

The following table shows the probability and contribution to the return for all possible outcomes of the Pair bet. The lower right cell shows a house edge of 4.69%.

### Pair

Event Pays Combinations Probability Return
Pair of aces 6 336 0.039829 0.238976
Pair of 6's to K's 2 1,896 0.224751 0.449502
Loss -1 6,204 0.735420 -0.735420
Total   8,436 1.000000 -0.046942

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