Knockout Baccarat
I was browsing the web tonight, and saw one of the game publishers that I follow placed their new Knockout Baccarat game at a casino in the UK. It’s a variation on baccarat, where you post an Ante on the Player or Banker, then they deal the first player card face up. You then decide to 2x raise your Ante, or fold. The hand is then played out following standard drawing rules. If your hand wins, then your Ante is paid even-money, and your Raise bet is paid odds depending on the losing hand total.
Losing Total | Raise Payout |
---|---|
6-8 | 2:1 |
4-5 | 1:1 |
0-3 | 1:2 |
I decided to analyze the game, to see if any part of it was countable. You never know, people make vulnerable games, and you might find some double-digit exploit. Well, to cut to the chase, this new game isn’t very countable. I did find the game was kind of pointless, and that the Player bet is a lot worse than with regular baccarat.
I ran the numbers, and there’s no decision. You always 2x Raise your Ante. You just pick Banker or Player before the hand begins, and that’s it. Folding is never even a close option. The Banker bet has a 4.72% house edge, and the Player bet has a 10.98% house edge. Before you roll over in shock, you should really divide these edges by 3, since you’re always 2x raising your Ante. So, the element-of-risk is 1.57% for Banker, and 3.66% for Player.
Update: Oh, I see. Sometimes you win more than even-money, sometimes you win less. That’s different, I guess. Still, that could be done without the needless extra step of the 2x raise. The raise becomes silly once everyone realises you always make it. (Even against a player 9, you still make the 2x Banker Raise. Folding is a mistake costing at least 31% of the Ante.)
Banker Outcome | Net | Frequency | Probability | Return |
---|---|---|---|---|
win vs. 8 | 5 | 55,279,842,324,480 | 0.011060 | 0.055298 |
win vs. 7 | 5 | 158,356,022,816,768 | 0.031681 | 0.158407 |
win vs. 6 | 5 | 257,091,239,776,256 | 0.051435 | 0.257174 |
win vs. 5 | 3 | 209,913,277,599,744 | 0.041996 | 0.125988 |
win vs. 4 | 3 | 248,966,126,419,968 | 0.049809 | 0.149428 |
win vs. 3 | 2 | 287,320,282,048,512 | 0.057482 | 0.114965 |
win vs. 2 | 2 | 307,130,524,108,800 | 0.061446 | 0.122892 |
win vs. 1 | 2 | 327,378,644,353,024 | 0.065497 | 0.130993 |
win vs. 0 | 2 | 440,816,606,990,336 | 0.088192 | 0.176383 |
lose | -3 | 2,230,518,282,592,260 | 0.446247 | -1.338740 |
push | 0 | 475,627,426,473,216 | 0.095156 | 0.000000 |
total | 4,998,398,275,503,360 | 1.000000 | -0.047213 |
Player Outcome | Net | Frequency | Probability | Return |
---|---|---|---|---|
win vs. 8 | 5 | 55,165,968,408,576 | 0.011037 | 0.055184 |
win vs. 7 | 5 | 155,954,129,788,928 | 0.031201 | 0.156004 |
win vs. 6 | 5 | 239,782,224,326,656 | 0.047972 | 0.239859 |
win vs. 5 | 3 | 246,959,201,783,808 | 0.049408 | 0.148223 |
win vs. 4 | 3 | 267,343,809,949,696 | 0.053486 | 0.160458 |
win vs. 3 | 2 | 268,582,958,172,160 | 0.053734 | 0.107468 |
win vs. 2 | 2 | 280,469,279,004,672 | 0.056112 | 0.112224 |
win vs. 1 | 2 | 301,505,544,974,336 | 0.060320 | 0.120641 |
win vs. 0 | 2 | 414,755,166,183,424 | 0.082978 | 0.165955 |
lose | -3 | 2,292,252,566,437,890 | 0.458597 | -1.375792 |
push | 0 | 475,627,426,473,216 | 0.095156 | 0.000000 |
total | 4,998,398,275,503,360 | 1.000000 | -0.109777 |
Sidebet | Payout | Return | Ideal Countability |
---|---|---|---|
Player Natural Winner | 4:1 | -0.187055 | ~1.6% bet/shoe |
Banker Natural Winner | 4:1 | -0.187055 | |
Winner w/ 1,2,3,4 | 7:1 | -0.162387 | ~30% bet/shoe |
Winner w/ 5,6 | 3.5:1 | -0.170433 | ~8% bet/shoe |
Winner w/ 7 | 4.5:1 | -0.128165 | ~16% bet/shoe |
Winner w/ 8 | 3:1 | -0.131132 | ~16% bet/shoe |
Winner w/ 9 | 2.5:1 | -0.159784 | ~7% bet/shoe |
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