Baccarat Appendix 5
Last update: Dec. 5, 2008
Baccarat Side Bets
Index:
Dragon Bonus
4-5-6
Lucky Bonus
Three-Card Six
Dragon Bet
Dragon Bonus
The "Dragon Bonus" is a popular pair of side bets in mini baccarat. The following two tables show the possible outcomes of both the player and banker Dragon Bonus bets, based on eight decks. The lower right cells show a house edge of 2.65% on the player Dragon Bet and 9.37% on the banker Dragon Bet.
| Dragon Bonus — Player |
| Event |
Pays |
Combinations |
Probability |
Return |
| Win by 9 | 30 | 18409431764992 | 0.003683 | 0.110492 |
| Win by 8 | 10 | 34097645543424 | 0.006822 | 0.068217 |
| Win by 7 | 6 | 89590261473280 | 0.017924 | 0.107543 |
| Win by 6 | 4 | 141238897317888 | 0.028257 | 0.113027 |
| Win by 5 | 2 | 166169165987840 | 0.033244 | 0.066489 |
| Win by 4 | 1 | 186780352174080 | 0.037368 | 0.037368 |
| Natural win | 1 | 812685054124032 | 0.162589 | 0.162589 |
| Natural tie | 0 | 89325908267520 | 0.017871 | 0 |
| Loss | -1 | 3460101558850300 | 0.692242 | -0.692242 |
| Total | | 4998398275503350 | 1 | -0.026517 |
| Dragon Bonus — Banker |
| Event |
Pays |
Combinations |
Probability |
Return |
| Win by 9 | 30 | 15390342909952 | 0.003079 | 0.092372 |
| Win by 8 | 10 | 28305092784128 | 0.005663 | 0.056628 |
| Win by 7 | 6 | 79517099278336 | 0.015909 | 0.095451 |
| Win by 6 | 4 | 119200072366080 | 0.023848 | 0.095391 |
| Win by 5 | 2 | 157275882332160 | 0.031465 | 0.062931 |
| Win by 4 | 1 | 201147167287296 | 0.040242 | 0.040242 |
| Natural win | 1 | 812685054124032 | 0.162589 | 0.162589 |
| Natural tie | 0 | 89325908267520 | 0.017871 | 0 |
| Loss | -1 | 3495551656153850 | 0.699334 | -0.699334 |
| Total | | 4998398275503350 | 1 | -0.093731 |
The final table shows the house edge on each bet according to the number of decks.
|
Dragon Bonus House Edge
|
Number of decks | Player House Edge | Banker House Edge |
| 4 | 2.70% | 9.42% |
| 6 | 2.67% | 9.39% |
| 8 | 2.65% | 9.37% |
4-5-6
This is a side bet rumored to be seen at the Atlantic City Hilton. There are three bets available on the total number of final player and banker cards. 4 cards pays 3 to 2, and 5 and 6 pay 2 to 1. The following table shows the probability of winning and expected value of each bet, based on six and eight decks.
| 4-5-6 Side Bet — 6 Decks |
Total Cards |
Probability |
Pays |
Return |
| 4 | 0.378925 | 1.5 | -0.052688 |
| 5 | 0.303540 | 2 | -0.089380 |
| 6 | 0.317535 | 2 | -0.047395 |
| 4-5-6 Side Bet — 8 Decks |
Total Cards |
Probability |
Pays |
Return |
| 4 | 0.378868 | 1.5 | -0.05283 |
| 5 | 0.303444 | 2 | -0.089668 |
| 6 | 0.317687 | 2 | -0.046939 |
Lucky Bonus
Lucky Bonus is a side bet found in the commission-free baccarat game at the Pala casino in California. The bet pays 18 to 1 if the banker gets a winning 3-card six. The table below shows a player advantage of 2.34%. That is not a mistake; the bet has a player advantage. However, the player can not bet more than 10% of his banker bet on the Lucky Bonus. The house edge on the banker bet is 1.33%, for a combined house edge of 1.11%.
| Lucky Bonus — 8 Decks |
| Event |
Pays |
Combinations |
Probability |
Return |
| Banker on on 6 | 18 | 269232304455680 | 0.053864 | 0.969547 |
| All other | -1 | 4729165971047680 | 0.946136 | -0.946136 |
| Total | | 4998398275503360 | 1 | 0.023411 |
3-Card Six
3-Card Six is a side bet found in the commission-free baccarat game at the Pala casino in California. The bet pays 100 to 1 if both player and banker get a 3-card six, 8 to one if one of them does, and loses otherwise. The table below shows a house edge of 13.37%.
| Lucky Bonus — 8 Decks |
| Event |
Pays |
Combinations |
Probability |
Return |
| Two three-card 6 | 100 | 11932746197248 | 0.002387 | 0.238731 |
| One three-card 6 | 8 | 347224932859904 | 0.069467 | 0.555738 |
| All other | -1 | 4639240596446200 | 0.928145 | -0.928145 |
| Total | | 4998398275503350 | 1 | -0.133676 |
Dragon Bet
The Dragon Bet is a side bet found in the EZ Baccarat game at the Barona casino in California. The bet pays 40 to 1 if the banker gets a winning 3-card 7. The table below shows a house edge of 7.61%.
| Dragon Bet — 8 Decks |
| Event |
Pays |
Combinations |
Probability |
Return |
| Banker win on 3-card 7 | 40 | 112633011329024 | 0.022534 | 0.901353 |
| All other | -1 | 4885765264174340 | 0.977466 | -0.977466 |
| Total | | 4998398275503360 | 1 | -0.076113 |
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