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Lucky Ball Roulette
Introduction
Lucky Ball is a set of four side bets in roulette. It has been seen at the Stratford City casino in London. I saw it displayed at the 2019 Global Gaming Expo.
Rules
- In addition to all the standard roulette bets, there are four Lucky Ball bets, colored red, yellow, green, and blue.
- After betting is closed, the game will pick a unique roulette outcome for each color and display them on a sign.
- In addition, the game will display the win for each of the four Lucky Ball bets. The possible wins are shown below.
- With all four Lucky Ball bets, the probability of the small win is 75% and the big win is 25%.
- If the roulette ball lands in the number associated with any Lucky Ball bet, then the player shall win the posted amount for that color.
Lucky Ball Wins
| Color | Big Win | Small Win |
|---|---|---|
| Red | 120 | 6 |
| Blue | 75 | 20 |
| Green | 100 | 12 |
| Yellow | 75 | 20 |
Single-Zero Analysis
The following table shows my analysis of the Red bet. The lower right cell shows a house edge of 4.05%.
Red Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 120 | 1 | 0.006757 | 0.810811 |
| Small Win | 6 | 3 | 0.020270 | 0.121622 |
| Loss | -1 | 144 | 0.972973 | -0.972973 |
| Total | 148 | 1.000000 | -0.040541 |
The following table shows my analysis of the Green bet. The lower right cell shows a house edge of 5.41%.
Green Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 100 | 1 | 0.006757 | 0.675676 |
| Small Win | 12 | 3 | 0.020270 | 0.243243 |
| Loss | -1 | 144 | 0.972973 | -0.972973 |
| Total | 148 | 1.000000 | -0.054054 |
The following table shows my analysis of the Blue bet. The lower right cell shows a house edge of 6.08%.
Blue Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 75 | 1 | 0.006757 | 0.506757 |
| Small Win | 20 | 3 | 0.020270 | 0.405405 |
| Loss | -1 | 144 | 0.972973 | -0.972973 |
| Total | 148 | 1.000000 | -0.060811 |
The following table shows my analysis of the Yellow bet. The lower right cell shows a house edge of 6.08%.
Yellow Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 75 | 1 | 0.006757 | 0.506757 |
| Small Win | 20 | 3 | 0.020270 | 0.405405 |
| Loss | -1 | 144 | 0.972973 | -0.972973 |
| Total | 148 | 1.000000 | -0.060811 |
Double-Zero Analysis
The following table shows my analysis of the Red bet. The lower right cell shows a house edge of 6.58%.
Red Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 120 | 1 | 0.006579 | 0.789474 |
| Small Win | 6 | 3 | 0.019737 | 0.118421 |
| Loss | -1 | 148 | 0.973684 | -0.973684 |
| Total | 152 | 1.000000 | -0.065789 |
The following table shows my analysis of the Green bet. The lower right cell shows a house edge of 7.89%.
Green Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 100 | 1 | 0.006579 | 0.657895 |
| Small Win | 12 | 3 | 0.019737 | 0.236842 |
| Loss | -1 | 148 | 0.973684 | -0.973684 |
| Total | 152 | 1.000000 | -0.078947 |
The following table shows my analysis of the Blue bet. The lower right cell shows a house edge of 8.55%.
Blue Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 75 | 1 | 0.006579 | 0.493421 |
| Small Win | 20 | 3 | 0.019737 | 0.394737 |
| Loss | -1 | 148 | 0.973684 | -0.973684 |
| Total | 152 | 1.000000 | -0.085526 |
The following table shows my analysis of the Yellow bet. The lower right cell shows a house edge of 8.55%.
Yellow Bet
| Event | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Big Win | 75 | 1 | 0.006579 | 0.493421 |
| Small Win | 20 | 3 | 0.019737 | 0.394737 |
| Loss | -1 | 148 | 0.973684 | -0.973684 |
| Total | 152 | 1.000000 | -0.085526 |