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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

  1. Cards are scored as in blackjack. Aces can be 1 or 11.
  2. Wins are based on the player's initial two cards and the dealer's up card.
  3. The only known pay table to me is shown below.
  4. 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