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Fortune Blackjack
Introduction
Fortunes Blackjack is a side bet based on the player's initial two cards and the dealer's up card. Any total of 19 to 21 will win, with the amount depending on the exact total and composition. If it sounds familiar, it is the same as the Lucky Lucky. The only changes are the name and the pay table.
I first saw the bet at the Red Rock casino in Las Vegas on October 24, 2021.
Rules
- Cards are scored as in blackjack. Aces can be 1 or 11.
- Wins are based on the player's initial two cards and the dealer's up card.
- The only known pay table to me is shown below.
- Pays are on a "to one" basis.
Red Rock Pay Table
| Event | Pays | |
|---|---|---|
| Suited 777 | 200 | |
| Suited 678 | 100 | |
| Unsuited 777 | 50 | |
| Unsuited 678 | 20 | |
| Suited 21 | 10 | |
| Unsuited 21 | 3 | |
| Any 20 | 2 | |
| Any 19 | 2 |
Analysis
The following table shows my analysis based on a six-deck game. The lower right cell shows a house edge of 7.89%.
Six Deck Return Table
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited 777 | 200 | 80 | 0.000016 | 0.003191 |
| Suited 678 | 100 | 864 | 0.000172 | 0.017234 |
| Unsuited 777 | 50 | 1,944 | 0.000388 | 0.019388 |
| Unsuited 678 | 20 | 12,960 | 0.002585 | 0.051702 |
| Suited 21 | 10 | 26,568 | 0.005299 | 0.052995 |
| Unsuited 21 | 3 | 406,296 | 0.081043 | 0.243130 |
| Any 20 | 2 | 377,568 | 0.075313 | 0.150626 |
| Any 19 | 2 | 364,320 | 0.072670 | 0.145341 |
| All other | -1 | 3,822,720 | 0.762513 | -0.762513 |
| Total | 5,013,320 | 1.000000 | -0.078905 |
The following table shows my analysis based on an eight-deck game. The lower right cell shows a house edge of 7.89%.
Eight Deck Return Table
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited 777 | 200 | 224 | 0.000019 | 0.003761 |
| Suited 678 | 100 | 2,048 | 0.000172 | 0.017193 |
| Unsuited 777 | 50 | 4,736 | 0.000398 | 0.019879 |
| Unsuited 678 | 20 | 30,720 | 0.002579 | 0.051578 |
| Suited 21 | 10 | 63,360 | 0.005319 | 0.053189 |
| Unsuited 21 | 3 | 964,224 | 0.080945 | 0.242834 |
| Any 20 | 2 | 896,512 | 0.075260 | 0.150520 |
| Any 19 | 2 | 864,768 | 0.072595 | 0.145191 |
| All other | -1 | 9,085,568 | 0.762714 | -0.762714 |
| Total | 11,912,160 | 1.000000 | -0.078570 |