Craps
Understanding Baccarat Card Counting – Impact of Card Removal
Crazy 4 Poker
In both blackjack and baccarat, a crucial first step in crafting a card counting method is evaluating how the removal of a single card impacts the game. The table below illustrates the outcomes for banker, player, and tie wins resulting from taking out one card in an 8-deck shoe, with the specific card shown in the accompanying image's left column.
Mississippi Stud
One Card Poker Online Craps |
Pai Gow Poker | Pai Gow Tiles | Three Card Poker |
---|---|---|---|
1 | 2259266202814720 | 2198201626637560 | 468838163231312 |
2 | 2259390347439480 | 2198279181695870 | 468636463548240 |
3 | 2259415336955130 | 2198240411263230 | 468650244465232 |
4 | 2259565639560830 | 2198132965463160 | 468607387659600 |
5 | 2259056540713470 | 2198626760121850 | 468622691848272 |
6 | 2259230629854970 | 2198942636434940 | 468132726393680 |
7 | 2259288625471740 | 2198847351781120 | 468170015430736 |
8 | 2258880877214840 | 2198299582316670 | 469125533152080 |
9 | 2259013211112320 | 2198292198535290 | 469000583035984 |
10 | 2259094649086970 | 2198163195365880 | 469048148230736 |
The subsequent table contextualizes these figures by presenting the likelihood of a banker, player, and tie win based on the particular card that has been removed.
Ultimate Texas Hold ‘em
Video Poker (Single-Hand) Video Poker (Multi-Hand) |
Jacks or Better | Double Double Bonus | Deuces Wild |
---|---|---|---|
1 | 0.458613 | 0.446217 | 0.09517 |
2 | 0.458638 | 0.446233 | 0.095129 |
3 | 0.458643 | 0.446225 | 0.095132 |
4 | 0.458673 | 0.446203 | 0.095123 |
5 | 0.45857 | 0.446303 | 0.095127 |
6 | 0.458605 | 0.446367 | 0.095027 |
7 | 0.458617 | 0.446348 | 0.095035 |
8 | 0.458534 | 0.446237 | 0.095229 |
9 | 0.458561 | 0.446235 | 0.095203 |
10 | 0.458578 | 0.446209 | 0.095213 |
Following this, the next table details the house edge associated with each type of bet based on the card removed.
Caribbean Stud Poker
Casino War Let it Ride |
Mississippi Stud | Roulette | Keno |
---|---|---|---|
1 | 0.010535 | 0.012396 | 0.143467 |
2 | 0.010527 | 0.012405 | 0.143836 |
3 | 0.010514 | 0.012418 | 0.14381 |
4 | 0.010463 | 0.01247 | 0.143889 |
5 | 0.010662 | 0.012267 | 0.143861 |
6 | 0.010692 | 0.012238 | 0.144756 |
7 | 0.010662 | 0.012269 | 0.144688 |
8 | 0.010629 | 0.012298 | 0.142942 |
9 | 0.010602 | 0.012326 | 0.14317 |
10 | 0.01056 | 0.012369 | 0.143083 |
The next table outlines how the house edge for each betting option is affected by the removal of cards. A negative value suggests the player faces disadvantage, while a positive value implies a favorable situation.
Money$uit 31
English Japanese |
Log In | Sign Up | Appendices |
---|---|---|---|
0 | 0.000019 | 4: Streaks in Baccarat | 0.000513 |
1 | 0.000044 | 5: Baccarat Side Bets | 0.000129 |
2 | 0.000052 | 6: Commission Free Baccarat | 7: Baccarat Flashing Dealers |
3 | 0.000065 | 8: Card Counting the Panda 8 Bet | 9: Baccarat Odds Given Known Card |
4 | 0.000116 | Baccarat Analysis | One Up Baccarat Side Bet |
5 | Natural Hand Side Bets | 0.000084 | Jackpot Baccarat |
6 | Banker Streak | 0.000113 | Duo Bao Analyzed for Better Gameplay |
7 | Contrast Bonus Baccarat | 0.000082 | Tie Max (formerly Lucky Max) |
8 | Winning Total | 0.000053 | 0.000654 |
9 | Spread-Bet Baccarat | 0.000025 | 0.000426 |
The next table scales the previous figures up by a factor of ten million.
Kill the Ox/Tiger
Cow Cow Baccarat Side bets 3-Card Win |
5 Treasures Baccarat | Even and Odd | Perfect Pairs (Version 1) |
---|---|---|---|
0 | 188 | Perfect Pairs (Version 2) | 5129 |
1 | 440 | Lucky 6 Baccarat Side Bet | 1293 |
2 | 522 | Monkey 6 | Monkey 6 Tie |
3 | 649 | Grand Monkey | Side Total Side Bets in Baccarat |
4 | 1157 | 3 Giving 8 Baccarat Side Bet | Lucky Sevens |
5 | Lucky 99 | 841 | Lucky 8 |
6 | Quik Baccarat | 1128 | Rabbit Play Baccarat Side Bet |
7 | Baccarat Basics | 817 | Baccarat Insurance |
8 | Baccarat Gold | 533 | 6543 |
9 | Deconstructing Blazing Sevens | 249 | 4260 |
Egalite Bets in Baccarat | 0 | 0 | 0 |
To translate this data into a workable card counting strategy, players should begin with three counts set to zero. With each new card revealed from the shoe, players should add that card's point values to each running count. For example, if the first card is an 8, the three running counts will adjust to: banker=-502, player=533, tie=6543. It’s important to note that tracking all three counts simultaneously isn’t necessary. In reality, the values for banker and player tend to be inversely related; thus, a high banker count corresponds with a lower player count and vice versa.
For a bet to become beneficial, players must divide the running count by the remaining card ratio in the deck to arrive at the true count. A bet effectively bypasses the house edge at these true counts:
- Matching Dragon
- Baccarat Odds for 1 to 12 Decks
- Bad Beat Baccarat
If one were to execute this strategy flawlessly, they would find that the true counts rarely ascend past the threshold of zero house edge. The following table shows the frequency of hands played, based on a sample of 100 million, where the true count exceeds the previously mentioned break-even points. The accompanying image's left column illustrates the ratio of cards dealt before reshuffling.
Royal 9 Baccarat Side Bet
Baccarat Insurance at Asia Gaming | Miscellaneous | Baccarat Score Boards | Card Counting in Baccarat |
---|---|---|---|
Wizard Recommends | 0.000131 | 0.000024 | 0.000002 |
Casino Infinity | 0.001062 | 0.000381 | 0.000092 |
up to | 0.005876 | 0.003700 | 0.002106 |
The concluding table reveals the anticipated earnings per 100 bets when placing a $1000 wager during each positive expected value instance. Please keep in mind that this table assumes perfect counting skills and that the casino is indifferent to a player only wagering once every 475 hands or fewer.
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This section aims to demonstrate that, in practical terms, baccarat is not a game suited for card counting . For those interested in a similar study, I recommend up to authored by Peter A. Griffin. Although the primary focus is on blackjack, there’s a notable part of a chapter titled 'Can Baccarat Be Beaten?' on pages 216 to 223. Griffin concludes that even in the more relaxed shuffling environments of Atlantic City compared to Las Vegas, a player making $1000 bets on favorable hands can only expect a modest profit of about 70 cents per hour.
For further evaluation, I suggest utilizing this baccarat odds calculator. Input any deck composition to receive the house edge for all three betting options.
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