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Fortune Blackjack

Introduction

Fortunes Blackjack is a side bet that depends on the initial two cards dealt to the player and the dealer’s visible card. A total of 19 to 21 will secure a win, with payouts varying based on the specific total and card makeup. It's similar to the aforementioned game, with differences lying only in the name and payout structure. Lucky Lucky I first encountered this wager at the Red Rock casino in Las Vegas on October 24, 2021.

The scoring for this game follows the same rules as traditional blackjack, where aces can be valued at either 1 or 11.

Rules

  1. Winning outcomes are determined by the player’s starting two cards in conjunction with the dealer’s upcard.
  2. The only payout structure I am aware of is displayed in the table below.
  3. The subsequent table presents my findings based on a six-deck game, revealing a house edge calculated at 7.89% in the bottom right corner.
  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 next table illustrates my assessment of an eight-deck game, with the house edge also indicated as 7.89% in the lower right section.

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

Accurate mathematical strategies and insights applicable to various casino games, including blackjack, craps, roulette, and numerous others.

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