Ultimate Casino War
I saw this new variant of Casino War at Barona Casino, where they player gets an option to swap his card and make a 1x Raise bet. Of course, the catch is the dealer gets two cards, and gets to use the highest one. I wanted to see what the strategy and house edge were, and to check if it was at all countable out of the One-2-Six CSM they use.
The rules are pretty simple. You’re dealt one card face up, and the dealer is dealt two cards face down. The dealer will use his highest card. You have the option to replace your card with the next card out of the shoe (CSM), but you must wager an additional 1x bet to do make this swap. Finally, you may wager an optional 1x Raise on your final hand.
The dealer reveals his hand, and all your bets receive action against the dealer high card. Wins win a Six or lower pay 2:1, else it pays even-money. Ties push, and there’s no “going to War”.
For a 6-deck CSM game, the house edge is a fair 2.56%.
The basic strategy is pretty simple. You should swap an Eight or lower card. You should Raise a Jack or higher final card.
I checked the countability in a CSM by assuming perfect play given 16 known cards before every hand. The EV barely changes by +/- 0.3%, and thus is never +EV.
Outcome | Combinations | Frequency | Net | Return |
---|---|---|---|---|
Win 3x bet with drawn A | 165,477,312 | 0.035607 | 3 | 0.106820 |
Win 3x bet with drawn K | 138,914,496 | 0.029891 | 3 | 0.089673 |
Win 3x bet with drawn Q | 114,674,112 | 0.024675 | 3 | 0.074026 |
Win 3x bet with drawn J | 92,756,160 | 0.019959 | 3 | 0.059877 |
Lose 3x bet with drawn card | 163,441,152 | 0.035169 | -3 | -0.105506 |
Tie 3x bet with drawn card | 97,187,328 | 0.020912 | 0 | 0.000000 |
Win 2x bet with drawn T | 73,160,640 | 0.015742 | 2 | 0.031485 |
Win 2x bet with drawn 9 | 55,887,552 | 0.012026 | 2 | 0.024051 |
Win 2x bet with drawn 8 | 40,772,160 | 0.008773 | 2 | 0.017546 |
Win 2x bet with drawn 7 | 28,274,400 | 0.006084 | 2 | 0.012168 |
Win 2x bet with drawn 6 | 18,057,600 | 0.003886 | 4 | 0.015542 |
Win 2x bet with drawn 5 | 10,121,760 | 0.002178 | 4 | 0.008712 |
Win 2x bet with drawn 4 | 4,466,880 | 0.000961 | 4 | 0.003845 |
Win 2x bet with drawn 3 | 1,092,960 | 0.000235 | 4 | 0.000941 |
Lose 2x bet with drawn card | 1,409,976,288 | 0.303394 | -2 | -0.606788 |
Tie 2x bet with drawn card | 88,157,160 | 0.018969 | 0 | 0.000000 |
Win 2x bet with original A | 306,488,448 | 0.065949 | 2 | 0.131898 |
Win 2x bet with original K | 257,453,856 | 0.055398 | 2 | 0.110796 |
Win 2x bet with original Q | 212,690,880 | 0.045766 | 2 | 0.091532 |
Win 2x bet with original J | 172,199,520 | 0.037053 | 2 | 0.074107 |
Lose 2x bet with original card | 301,682,880 | 0.064915 | -2 | -0.129830 |
Tie 2x bet with original card | 179,437,536 | 0.038611 | 0 | 0.000000 |
Win 1x bet with original T | 135,979,776 | 0.029260 | 1 | 0.029260 |
Win 1x bet with original 9 | 104,031,648 | 0.022385 | 1 | 0.022385 |
Lose 1x bet with original card | 409,808,160 | 0.088181 | -1 | -0.088181 |
Tie 1x bet with original card | 65,156,976 | 0.014020 | 0 | 0.000000 |
Total | 4,647,347,640 | 1.000000 | -0.0256406 | |
Expected | 4,647,347,640 |
According to Dan Lubin, there’s a version that pays 2:1 for a win with a Six, 3:1 for a win with a Five, 5:1 for a win with a Four, and 8:1 for a win with a Trey. For a 6-deck game, these payouts reduce the house edge to 1.27%. The basic strategy remains the same. Still, the game never gets +EV with only 16 known cards.
Outcome | Combinations | Frequency | Net | Return |
---|---|---|---|---|
Win 3x bet with drawn A | 165,477,312 | 0.035607 | 3 | 0.106820 |
Win 3x bet with drawn K | 138,914,496 | 0.029891 | 3 | 0.089673 |
Win 3x bet with drawn Q | 114,674,112 | 0.024675 | 3 | 0.074026 |
Win 3x bet with drawn J | 92,756,160 | 0.019959 | 3 | 0.059877 |
Lose 3x bet with drawn card | 163,441,152 | 0.035169 | -3 | -0.105506 |
Tie 3x bet with drawn card | 97,187,328 | 0.020912 | 0 | 0.000000 |
Win 2x bet with drawn T | 73,160,640 | 0.015742 | 2 | 0.031485 |
Win 2x bet with drawn 9 | 55,887,552 | 0.012026 | 2 | 0.024051 |
Win 2x bet with drawn 8 | 40,772,160 | 0.008773 | 2 | 0.017546 |
Win 2x bet with drawn 7 | 28,274,400 | 0.006084 | 2 | 0.012168 |
Win 2x bet with drawn 6 | 18,057,600 | 0.003886 | 4 | 0.015542 |
Win 2x bet with drawn 5 | 10,121,760 | 0.002178 | 6 | 0.013068 |
Win 2x bet with drawn 4 | 4,466,880 | 0.000961 | 10 | 0.009612 |
Win 2x bet with drawn 3 | 1,092,960 | 0.000235 | 16 | 0.003763 |
Lose 2x bet with drawn card | 1,409,976,288 | 0.303394 | -2 | -0.606788 |
Tie 2x bet with drawn card | 88,157,160 | 0.018969 | 0 | 0.000000 |
Win 2x bet with original A | 306,488,448 | 0.065949 | 2 | 0.131898 |
Win 2x bet with original K | 257,453,856 | 0.055398 | 2 | 0.110796 |
Win 2x bet with original Q | 212,690,880 | 0.045766 | 2 | 0.091532 |
Win 2x bet with original J | 172,199,520 | 0.037053 | 2 | 0.074107 |
Lose 2x bet with original card | 301,682,880 | 0.064915 | -2 | -0.129830 |
Tie 2x bet with original card | 179,437,536 | 0.038611 | 0 | 0.000000 |
Win 1x bet with original T | 135,979,776 | 0.029260 | 1 | 0.029260 |
Win 1x bet with original 9 | 104,031,648 | 0.022385 | 1 | 0.022385 |
Lose 1x bet with original card | 409,808,160 | 0.088181 | -1 | -0.088181 |
Tie 1x bet with original card | 65,156,976 | 0.014020 | 0 | 0.000000 |
Total | 4,647,347,640 | 1.000000 | -0.0126955 | |
Expected | 4,647,347,640 |
12 comments