Royal Match 21 A Royal Side Bet The Royal Match 21™ side bet for blackjack focuses on the first two cards a player receives and its top hand has a maximum payout of more than 50 to 1.
The Davies Card Counting System for Beating the Royal Match Side Bet
- If you receive a Queen of Hearts pair while the dealer makes a blackjack, you win 1000 to 1 in payoff money. A matched 20 (matched rank and suit) gives you 19 to 1 odds, while a suited 20 pays off at 9 to 1. If you build a hand with an unsuited 20, you're paid at 4 to 1. Bonus Blackjack Side Bet.
- Royal Match Blackjack Bonus Royal Match blackjack is a special bonus for first two cards being of the same suit. The highest bonus being a pair of suited King and Queen, which is the royal match. Easy matches pay 2,5 to 1, suited pairs pay most of the time 5 to 2 and royal match pays 25 to 1.
- The Royal Match is a side bet in blackjack that is based on the first two cards dealt to the player. The rules of this side bet are quite simple, David. If the player's first two cards are suited, such as a queen and five of hearts, the player is paid 5 to 2. If the player has a royal match (a suited king and queen), the bet pays 25 to 1.
(From Blackjack Forum Vol. XIV #1, March 1994)
© 1994 Blackjack Forum
An advertisement for the Davies System appeared in Blackjack Forum, December 1993, along with a short review by Arnold Snyder. The purpose of the Davies Card Counting System is to profit from the 'Royal Match' proposition on some blackjack layouts.
Just What Is 'Royal Match'?
The Royal Match wager is offered before a round is dealt, and is independent of the blackjack implications of the play of the hand. The amount which can be wagered is limited by the casino, but is generally related to the amount wagered on the blackjack hand.
The Royal Match wager wins when the first two cards dealt to the wagering hand are of the same suit; otherwise the wager is lost. If the wager is a winner it is paid off at odds of 3 to 1 (4 for 1), unless the cards are the king and queen, in which case the odds are 10 to 1.
Obviously, there are some situations in which the Royal Match wager has a positive expectation for the player. (A clear example would be 13 cards remaining, all hearts.) The Davies System relies on a counting scheme and attendant strategy table to select the rounds on which the Royal Match wager should be made.
Testing the Davies System for the Royal Match Side Bet
I was immediately interested in this new money-making opportunity so, at Arnold's suggestion, I wrote to CCS and Associates, the publisher of the Davies System, offering to perform an independent, unbiased analysis, and to publish the results in Blackjack Forum if, and only if, they and I had agreed to this beforehand.
By return mail I received a copy of the Davies System and a letter signed by Lee R. Bakewell, whom I presume is a principal in CCS and Associates. The letter showed interest in my proposal, but did not agree at that time to publication of the results.
On January 5th I got their agreement to evaluate the Davies System and to publish the results. For system comparison purposes, I included a parallel evaluation of perfect Royal Match decisions (taking the wager whenever it had a positive expectation). Both faced the same situations at every card level from 47 remaining to 6 remaining, in 50 million randomly shuffled decks. Table 1 contains the results of the simulations used in that evaluation.
What Do The Davies Count System Simulations Say?
The first question I had was, 'How efficient is the Davies System?' The meaning of 'efficiency' in this context is the ratio of winnings using the Davies System to what would theoretically be possible using perfect play. This turned out to be a question which had 42 answers, one for each level of penetration.
I had decided that the best playing situation to hope for on a continuing bases would be head-to-head play, with seven rounds dealt before shuffling. So what were the meaningful levels in going through the deck? Clearly, the first round is out because we know the Royal Match expectation for this round is -3.77%. So I approximated the 2nd, 3rd, 4th, 5th, 6th, and 7th rounds as coming with 45, 39, 33, 27, 21, and 15 cards remaining, respectively. (You may not like my choices. If not, the raw data is in the table so you can select your own.)
One might suggest playing out the blackjack hands to get the specific penetration for each round, for each deck. I agree with the purity of such an approach, and welcome anyone to do their own 50 million decks of corresponding data. I doubt that the effort would be worth it, but I would be very happy to see how closely we agree.
It may surprise you how well the Davies System did on the question of efficiency. Averaged over the selected penetration levels, it extracted 75.49% of what would have been the reward for perfect play. This is impressive because the Davies System is quite simple, but yet is quite powerful.
Hourly Royal Match Win Rates
Is Royal Match for you? Well, what are your goals? As a curiosity, the Royal Match can be beaten. But for how much? Can you retire on your Royal Match winnings?
Let us return to 'the best situation for any system: head-to-head play, with seven rounds dealt before shuffling'. Using my selected levels for Royal Match wagering opportunities and $50 wagers whenever a wager is called for, perfect play returns an average of only $3.24 per deck played, while the Davies System returns $2.44. You can, of course, select your own levels and calculate your own winnings per deck.
At $2.44 per deck, what does this imply in money-making terms? If we are fortunate enough to get 200 rounds per hour, with seven rounds per deck we would expect to get about 29 decks per hour, yielding about $69.84 per hour.
Enough to live on, of course, but will you generally get this kind of game? If you find yourself with six other players, the $50 Royal Match wager returns per deck (30 cards remaining) 24 cents with perfect play and 21 cents with the Davies System. With 35 decks per hour, this translates into $7.30 per hour. This may not be enough to live on, and you must contend with playing blackjack too, and may have a difficult time with the count for that.
Some methods of play can improve the average winnings per deck. For example, if the player always takes two hands when the Davies System calls for it on the sixth round (21 cards lef) this round would return an additional 48 cents per deck on $50 Royal Match wagers. This might come at a stiff price, however, by reducing the likelihood of a seventh round, which shows a profit of $1.55 (and there would be a strong correlation between wagering on the sixth round and wagering on the seventh round). If, however, you do get the seventh round after this two-hand sixth round, it will come significantly deeper into the deck, perhaps with 13 cards remaining and its attendant $2.12. If you are getting seven rounds per deck, it may be better to try spreading to two hands on the seventh round (15 cards remaining). If this works, it would increase the per-deck return by $1.55.
So much of the success of the Davies System depends on how deep the dealer goes before shuffling. This would appear to be more important than how many hands per hour you play because of the great increase in expectation with penetration.
How to Read the Davies Royal Match System Simulation Tables
The table has four columns: LEFT, TxS-BETS, TxS-EDGE, and EST-EDGE, where 'x' indicates which decision criterion was used: 'P' for 'Perfect', 'D' for 'Davies'. LEFT indicates the deck penetration, and gives the unseen cards at the moment of making the Royal Match wager decision. TxS-BETS shows how many times in 50 million decks that the x-algorithm indicated the wager should be made. TxS-EDGE shows the return on those wagers for each unit wagered, divided by 50 million, and is given in percent. EST-EDGE is the sum of the theoretical advantages for those wagers divided by 50 million, and serves as a check on the simulation. These values will be close to those in the preceding column if the simulation is correct.
For calculating effectiveness, actual results of the wagers (TxS-EDGE) were used, not the values in the EST-EDGE. To find the amount won per deck on $50 Royal Match wagers, add the values in the TxS-EDGE column at the levels of penetration expected when Royal Match wagers may be made. Divide this value by 2 to get the per-deck winnings in dollars.
Parting Comments on the Royal Match Side Bet
Royal Match will probably never make anyone rich at the table, but it does offer some positive expectation opportunities which can be tapped for additional profit. The Davies System provides a fairly strong approach to these profits, yet is quite simple. It does take work to prepare for casino play, and probably more concentration than most effective blackjack card counting systems.
The question of whether attention to the Davies System count will cost the blackjack counter more in blackjack win than that won from Royal Match remains unanswered at this writing. If you have mastered basic strategy and that is what you play, then you should be able to concentrate on the Davies System and add a few extra dollars to salve the wounds caused by your blackjack losses. (I note no casinos that are identified as offering Royal Match have blackjack rules such that basic strategy does not lose.)
A further question in my mind is will a casino deal to a player who is playing the game only for the Royal Match play? Somehow, I think a $2 blackjack wager with an occasional $50 Royal Match wager (never off the top!) would not be tolerated for long, especially if it becomes clear that the player is winning with this approach. It strikes me as a more-difficult problem to camouflage a winning Royal Match system than to camouflage a winning blackjack counting system.
On January 8, Lee Bakewell sent me written confirmation of his agreement to publication of the results of my analysis of the Davies System, along with some enhancements designed to improve the system's effectiveness. I immediately incorporated these enhancements and ran a new set of 10 million decks to see how beneficial the enhancements, indeed, were. The results, shown in Table 2, were quite impressive.
(NOTE: You will see that the TPS-EDGE and EST-EDGE columns for PERFECT PLAY are different in some corresponding entries between the two tables. You may wonder why this is the case. It is because they are each the result of an independent simulation and represent a different set of samples, with the resultant difference for these average values. The difference is small in all cases.)
Using the same penetration levels as before for head-to-head play, I found the efficiency of the Davies System Enhanced to be 91.73%, when compared to perfect play over these ten million decks. With $50 Royal Match wagers, this translates to an average of $3.01 per deck, or about $85.90 per hour in the fast, head-to-head game, a 23% improvement over the non-enhanced version. In the seven-player, two-round game, the average profit per deck (30 cards remaining) is about 23 cents. (Perfect play gives a profit of 25 cents per deck for this set of 10 million decks.)
This improvement comes at a price: The counting system is more complicated and would, therefore, increase the time to train for actual casino play, the concentration needed in the casino, and the difficulty in pursuing a point count playing strategy for the blackjack hand. In my opinion, only a rare few would have the discipline to accurately count for both Royal Match wagers and blackjack play, while the rest would have to rely on basic strategy for blackjack playing decisions. This would be ripe for a team approach to protect the blackjack wager while finding the lucrative Royal Match opportunities.
Below is a summary of things you should know as a result of these simulations. It shows six different playing conditions and gives the average profit per deck, profit per hour, and expectation on Royal Match wagers when called for by the Davies System. Both regular and enhanced versions are included. The columns labeled 'EXP' is the average expectation on Royal Match wagers and is calculated as the total amount won divided by the total amount wagered, expressed as a percent.
A significant observation can be made to support that the benefits of the enhanced version over the regular version lie in the higher expectations. (I understand that the Davies System now being distributed is the enhanced versions, and earlier purchasers have been updated.) Much of this comes from inhibiting wagers which would otherwise be called for. While making 23% more money, only about 80% as much was wagered. This makes it much safer from a 'risk of ruin' point of view.
As you can see, this table does not form a smooth curve and interpolation/extrapolation might be dangerous.
What More Can We Do?
It would be interesting to see what the combination of Davies System and blackjack counting can do, with various approaches to the blackjack wager and number of hands, and with various depths of penetration. I hope to explore these questions for a future issue of Blackjack Forum. ♠Summary of Davies Royal Match Card Counting System Analysis
REGULAR VERSION | ENHANCED VERSION | |||||||
---|---|---|---|---|---|---|---|---|
Players | Rounds | Hands/Hr | $/Deck | $/Hour | Exp | $/Deck | $/Hour | Exp |
7 | 2 | 70 | $0.21 | $7.30 | 2.82% | $0.23 | $7.88 | 3.21% |
4 | 3 | 100 | $0.43 | $14.25 | 2.48% | $0.47 | $15.67 | 2.96% |
3 | 4 | 120 | $0.91 | $27.38 | 2.73% | $1.27 | $38.14 | 4.73% |
2 | 4 | 150 | $0.35 | $13.17 | 2.07% | $0.40 | $14.92 | 2.53% |
2 | 5 | 150 | $0.83 | $25.00 | 2.11% | $1.13 | $33.83 | 4.48% |
1 | 7 | 200 | $2.44 | $69.84 | 3.77% | $3.01 | $85.90 | 4.33% |
50,000,000 Decks Played | PERFECT | DAVIES |
---|---|---|
Per Deck Win on $50 *Bets: | $3.2380 | $2.4444 |
Efficiency: | 75.4910% |
PERFECT PLAY
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 10562306 | 0.8829% | 0.9037% |
46 | 16832 | 0.0003% | 0.0003% | 25 | 9810734 | 1.0417% | 1.0344% |
45 | 91650 | 0.0025% | 0.0010% | 24 | 9619151 | 1.1746% | 1.1755% |
44 | 146757 | 0.0034% | 0.0023% | 23 | 11710914 | 1.3514% | 1.3520% |
43 | 276459 | 0.0044% | 0.0054% | 22 | 11711140 | 1.5230% | 1.5277% |
42 | 402526 | 0.0118% | 0.0106% | 21 | 12496058 | 1.7238% | 1.7361% |
41 | 865461 | 0.0180% | 0.0200% | 20 | 12418021 | 1.9801% | 1.9705% |
40 | 1361867 | 0.0253% | 0.0326% | 19 | 13747058 | 2.2378% | 2.2193% |
39 | 1735815 | 0.0510% | 0.0491% | 18 | 12883330 | 2.5094% | 2.5157% |
38 | 2094195 | 0.0699% | 0.0714% | 17 | 13102034 | 2.8387% | 2.8231% |
37 | 2851369 | 0.0975% | 0.1006% | 16 | 14695124 | 3.2548% | 3.2346% |
36 | 3503400 | 0.1346% | 0.1354% | 15 | 15394673 | 3.6472% | 3.6670% |
35 | 4083919 | 0.1816% | 0.1752% | 14 | 16479167 | 4.1245% | 4.1187% |
34 | 4862287 | 0.2207% | 0.2228% | 13 | 15976203 | 4.7407% | 4.7228% |
33 | 5710462 | 0.2607% | 0.2772% | 12 | 17587821 | 5.4030% | 5.4060% |
32 | 6557465 | 0.3243% | 0.3396% | 11 | 18146368 | 6.1340% | 6.1340% |
31 | 6710487 | 0.4235% | 0.4094% | 10 | 18710903 | 7.3941% | 7.4136% |
30 | 7472002 | 0.4839% | 0.4884% | 9 | 14717051 | 8.3194% | 8.3259% |
29 | 7813685 | 0.5783% | 0.5732% | 8 | 12944131 | 9.4726% | 9.4689% |
28 | 8331258 | 0.6770% | 0.6673% | 7 | 17422067 | 12.2727% | 12.2413% |
27 | 9032900 | 0.7909% | 0.7821% | 6 | 24435568 | 14.1606% | 14.1772% |
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 13590557 | 0.6797% | 0.7015% |
46 | 16832 | 0.0003% | 0.0003% | 25 | 14428971 | 0.8323% | 0.8385% |
45 | 102973 | 0.0022% | 0.0009% | 24 | 15328227 | 0.9727% | 0.9696% |
44 | 356620 | 0.0022% | 0.0009% | 23 | 16885566 | 1.0489% | 1.0466% |
43 | 718453 | -0.0006% | -0.0001% | 22 | 19641568 | 0.9908% | 0.9972% |
42 | 1135989 | -0.0016% | 0.0005% | 21 | 22509849 | 0.9637% | 0.9597% |
41 | 1607271 | 0.0019% | 0.0058% | 20 | 24362612 | 1.0763% | 1.0774% |
40 | 2203403 | 0.0100% | 0.0158% | 19 | 24376220 | 1.4059% | 1.4032% |
39 | 2784001 | 0.0227% | 0.0284% | 18 | 23855593 | 1.7579% | 1.7626% |
38 | 3299284 | 0.0453% | 0.0468% | 17 | 23135185 | 2.1845% | 2.1714% |
37 | 3771649 | 0.0669% | 0.0743% | 16 | 22761011 | 2.6146% | 2.5867% |
36 | 4309693 | 0.1095% | 0.1085% | 15 | 21646282 | 3.0950% | 3.1219% |
35 | 4777867 | 0.1503% | 0.1430% | 14 | 20644515 | 3.7246% | 3.7313% |
34 | 5175336 | 0.1782% | 0.1847% | 13 | 20905208 | 4.2307% | 4.2300% |
33 | 5509838 | 0.2141% | 0.2386% | 12 | 24082712 | 4.3297% | 4.3337% |
32 | 5875004 | 0.2813% | 0.3013% | 11 | 29575747 | 3.9535% | 3.9621% |
31 | 6411455 | 0.3723% | 0.3618% | 10 | 32428895 | 4.3252% | 4.3423% |
30 | 7400492 | 0.4172% | 0.4198% | 9 | 29099947 | 6.4594% | 6.4693% |
29 | 9021576 | 0.4726% | 0.4666% | 8 | 23998472 | 9.3691% | 9.3665% |
28 | 10740177 | 0.5164% | 0.5153% | 7 | 23875685 | 11.4091% | 11.3733% |
27 | 12300661 | 0.5910% | 0.5877% | 6 | 24018501 | 13.9370% | 13.9517% |
TABLE 2
ROYAL MATCH ANALYSIS
(ENHANCED VERSION)
10,000,000 Decks Played | PERFECT | DAVIES |
---|---|---|
Per Deck Win on $50 *Bets: | $3.2773 | $3.0065 |
Efficiency: | 91.7349% |
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 2111717 | 0.9011% | 0.9037% |
46 | 3383 | -0.0001% | 0.0003% | 25 | 1961015 | 1.0119% | 1.0345% |
45 | 18353 | 0.0030% | 0.0010% | 24 | 1923584 | 1.1717% | 1.1754% |
44 | 29395 | 0.0007% | 0.0023% | 23 | 2342628 | 1.3226% | 1.3514% |
43 | 55223 | 0.0069% | 0.0054% | 22 | 2342291 | 1.5149% | 1.5271% |
42 | 80786 | 0.0099% | 0.0106% | 21 | 2500231 | 1.7312% | 1.7363% |
41 | 173071 | 0.0314% | 0.0201% | 20 | 2484415 | 1.9170% | 1.9703% |
40 | 272096 | 0.0311% | 0.0326% | 19 | 2748569 | 2.2354% | 2.2189% |
39 | 347388 | 0.0316% | 0.0490% | 18 | 2576641 | 2.5515% | 2.5140% |
38 | 418217 | 0.0779% | 0.0712% | 17 | 2619991 | 2.8304% | 2.8222% |
37 | 569621 | 0.1220% | 0.1003% | 16 | 2938812 | 3.2253% | 3.2333% |
36 | 700850 | 0.1308% | 0.1352% | 15 | 3077918 | 3.7214% | 3.6654% |
35 | 815824 | 0.1678% | 0.1753% | 14 | 3294481 | 4.0757% | 4.1162% |
34 | 972648 | 0.2258% | 0.2229% | 13 | 3194823 | 4.7808% | 4.7220% |
33 | 1141664 | 0.2774% | 0.2773% | 12 | 3516535 | 5.4100% | 5.4016% |
32 | 1310725 | 0.3056% | 0.3396% | 11 | 3628065 | 6.1460% | 6.1280% |
31 | 1341341 | 0.3993% | 0.4096% | 10 | 3740120 | 7.3129% | 7.4044% |
30 | 1493329 | 0.5048% | 0.4883% | 9 | 2940757 | 8.3377% | 8.3151% |
29 | 1560046 | 0.6066% | 0.5729% | 8 | 2585983 | 9.4554% | 9.4556% |
28 | 1665641 | 0.6758% | 0.6668% | 7 | 3483027 | 12.1492% | 12.2308% |
27 | 1805680 | 0.7901% | 0.7819% | 6 | 4887680 | 14.1385% | 14.1776% |
THE DAVIES SYSTEM
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 2381229 | 0.7913% | 0.8018% |
46 | 3383 | -0.0001% | 0.0003% | 25 | 2550639 | 0.9312% | 0.9318% |
45 | 20589 | 0.0019% | 0.0009% | 24 | 2735606 | 1.0888% | 1.0566% |
44 | 71525 | -0.0088% | 0.0009% | 23 | 2986979 | 1.1860% | 1.1759% |
43 | 150862 | -0.0007% | -0.0001% | 22 | 3335243 | 1.2898% | 1.2869% |
42 | 250891 | 0.0097% | 0.0003% | 21 | 3632284 | 1.4592% | 1.4512% |
41 | 369402 | 0.0194% | 0.0044% | 20 | 3737665 | 1.6570% | 1.7130% |
40 | 502906 | 0.0165% | 0.0138% | 19 | 3604193 | 2.0733% | 2.0626% |
39 | 622449 | 0.0090% | 0.0279% | 18 | 3397649 | 2.4518% | 2.4193% |
38 | 719314 | 0.0598% | 0.0488% | 17 | 3196603 | 2.7735% | 2.7796% |
37 | 802202 | 0.0901% | 0.0787% | 16 | 3083429 | 3.1543% | 3.1544% |
36 | 892655 | 0.1192% | 0.1149% | 15 | 3042799 | 3.6075% | 3.5434% |
35 | 964436 | 0.1332% | 0.1522% | 14 | 3212390 | 3.7979% | 3.8684% |
34 | 1024690 | 0.2054% | 0.1959% | 13 | 3517161 | 4.3052% | 4.3008% |
33 | 1075104 | 0.2500% | 0.2506% | 12 | 3787099 | 5.0876% | 5.0407% |
32 | 1137433 | 0.3071% | 0.3124% | 11 | 3758762 | 6.0972% | 6.0692% |
31 | 1232305 | 0.3604% | 0.3728% | 10 | 3447739 | 7.1186% | 7.2093% |
30 | 1402885 | 0.4500% | 0.4349% | 9 | 2931329 | 8.3254% | 8.3024% |
29 | 1669190 | 0.5104% | 0.4992% | 8 | 2498463 | 9.3508% | 9.3534% |
28 | 1939498 | 0.5979% | 0.5751% | 7 | 1994831 | 10.1246% | 10.1801% |
27 | 2178521 | 0.6854% | 0.6738% | 6 | 1334755 | 10.4211% | 10.4522% |
For more information on blackjack side bets and professional blackjack card counting systems, see the Blackjack Forum Professional Gambling Library.
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Blackjack side bets come in many shapes and sizes. Many traditional and online blackjack games have their own lineup of side bets. It would be impossible to come up with a complete list of side bets, though all blackjack side bet options generally fall under a few different categories. Here's a breakdown of both common and obscure blackjack side bets.
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Super Sevens Side Bet
The 7 card is a big player in blackjack side bets. Pick up lines about gambling winnings. Sometimes called Super Sevens bets, this side bet is a proposition wager on whether or not the first card you are dealt is a 7. This bet traditionally pays off at 3-to-1.
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Another Super Sevens side bet is whether the first two cards you receive are 7s. Because this is a far less likely event, a winning Double Sevens bet pays off at 50-to-1 or more. Taking it a step further, some casinos that use multi-deck blackjack shoes offer Suited Sevens bets, which state that if you are dealt two suited sevens, you win a payoff as high as 100-to-1.
There's one more Super Sevens bet that is one of the least likely occurrences in the casino. If the first 3 cards you are dealt are 7s, regardless of suit, you can earn between 500-to-1 (for unsuited triple 7s) or as much as 5,000 to 1 (for suited triple 7s).
Royal Match Side Bet
The Royal Match bet pays a small bonus if the first two cards you receive are suited, called an 'easy match', and a much larger bonus if the first two cards you receive are a suited king and queen, which is called the Royal Match. You'll find several versions of this side bet, with the payouts expected just under 97% to 93%.
Streak Blackjack Side Bet
Blackjack Royal Match Odds Calculator
One blackjack side bet you might not see as often in the streak bet. In this proposition, you win the bonus if you have a certain number of winning hands in a row. When you have split pairs, you'll need to determine a net win for the total hand. For instance, if you split 7s and win on one hand while pushing on the other, that's considered a net win. Take note that most streak bets don't allow you the surrender option.
Over/Under 13 Side Bet
What More Can We Do?
It would be interesting to see what the combination of Davies System and blackjack counting can do, with various approaches to the blackjack wager and number of hands, and with various depths of penetration. I hope to explore these questions for a future issue of Blackjack Forum. ♠Summary of Davies Royal Match Card Counting System Analysis
REGULAR VERSION | ENHANCED VERSION | |||||||
---|---|---|---|---|---|---|---|---|
Players | Rounds | Hands/Hr | $/Deck | $/Hour | Exp | $/Deck | $/Hour | Exp |
7 | 2 | 70 | $0.21 | $7.30 | 2.82% | $0.23 | $7.88 | 3.21% |
4 | 3 | 100 | $0.43 | $14.25 | 2.48% | $0.47 | $15.67 | 2.96% |
3 | 4 | 120 | $0.91 | $27.38 | 2.73% | $1.27 | $38.14 | 4.73% |
2 | 4 | 150 | $0.35 | $13.17 | 2.07% | $0.40 | $14.92 | 2.53% |
2 | 5 | 150 | $0.83 | $25.00 | 2.11% | $1.13 | $33.83 | 4.48% |
1 | 7 | 200 | $2.44 | $69.84 | 3.77% | $3.01 | $85.90 | 4.33% |
50,000,000 Decks Played | PERFECT | DAVIES |
---|---|---|
Per Deck Win on $50 *Bets: | $3.2380 | $2.4444 |
Efficiency: | 75.4910% |
PERFECT PLAY
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 10562306 | 0.8829% | 0.9037% |
46 | 16832 | 0.0003% | 0.0003% | 25 | 9810734 | 1.0417% | 1.0344% |
45 | 91650 | 0.0025% | 0.0010% | 24 | 9619151 | 1.1746% | 1.1755% |
44 | 146757 | 0.0034% | 0.0023% | 23 | 11710914 | 1.3514% | 1.3520% |
43 | 276459 | 0.0044% | 0.0054% | 22 | 11711140 | 1.5230% | 1.5277% |
42 | 402526 | 0.0118% | 0.0106% | 21 | 12496058 | 1.7238% | 1.7361% |
41 | 865461 | 0.0180% | 0.0200% | 20 | 12418021 | 1.9801% | 1.9705% |
40 | 1361867 | 0.0253% | 0.0326% | 19 | 13747058 | 2.2378% | 2.2193% |
39 | 1735815 | 0.0510% | 0.0491% | 18 | 12883330 | 2.5094% | 2.5157% |
38 | 2094195 | 0.0699% | 0.0714% | 17 | 13102034 | 2.8387% | 2.8231% |
37 | 2851369 | 0.0975% | 0.1006% | 16 | 14695124 | 3.2548% | 3.2346% |
36 | 3503400 | 0.1346% | 0.1354% | 15 | 15394673 | 3.6472% | 3.6670% |
35 | 4083919 | 0.1816% | 0.1752% | 14 | 16479167 | 4.1245% | 4.1187% |
34 | 4862287 | 0.2207% | 0.2228% | 13 | 15976203 | 4.7407% | 4.7228% |
33 | 5710462 | 0.2607% | 0.2772% | 12 | 17587821 | 5.4030% | 5.4060% |
32 | 6557465 | 0.3243% | 0.3396% | 11 | 18146368 | 6.1340% | 6.1340% |
31 | 6710487 | 0.4235% | 0.4094% | 10 | 18710903 | 7.3941% | 7.4136% |
30 | 7472002 | 0.4839% | 0.4884% | 9 | 14717051 | 8.3194% | 8.3259% |
29 | 7813685 | 0.5783% | 0.5732% | 8 | 12944131 | 9.4726% | 9.4689% |
28 | 8331258 | 0.6770% | 0.6673% | 7 | 17422067 | 12.2727% | 12.2413% |
27 | 9032900 | 0.7909% | 0.7821% | 6 | 24435568 | 14.1606% | 14.1772% |
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 13590557 | 0.6797% | 0.7015% |
46 | 16832 | 0.0003% | 0.0003% | 25 | 14428971 | 0.8323% | 0.8385% |
45 | 102973 | 0.0022% | 0.0009% | 24 | 15328227 | 0.9727% | 0.9696% |
44 | 356620 | 0.0022% | 0.0009% | 23 | 16885566 | 1.0489% | 1.0466% |
43 | 718453 | -0.0006% | -0.0001% | 22 | 19641568 | 0.9908% | 0.9972% |
42 | 1135989 | -0.0016% | 0.0005% | 21 | 22509849 | 0.9637% | 0.9597% |
41 | 1607271 | 0.0019% | 0.0058% | 20 | 24362612 | 1.0763% | 1.0774% |
40 | 2203403 | 0.0100% | 0.0158% | 19 | 24376220 | 1.4059% | 1.4032% |
39 | 2784001 | 0.0227% | 0.0284% | 18 | 23855593 | 1.7579% | 1.7626% |
38 | 3299284 | 0.0453% | 0.0468% | 17 | 23135185 | 2.1845% | 2.1714% |
37 | 3771649 | 0.0669% | 0.0743% | 16 | 22761011 | 2.6146% | 2.5867% |
36 | 4309693 | 0.1095% | 0.1085% | 15 | 21646282 | 3.0950% | 3.1219% |
35 | 4777867 | 0.1503% | 0.1430% | 14 | 20644515 | 3.7246% | 3.7313% |
34 | 5175336 | 0.1782% | 0.1847% | 13 | 20905208 | 4.2307% | 4.2300% |
33 | 5509838 | 0.2141% | 0.2386% | 12 | 24082712 | 4.3297% | 4.3337% |
32 | 5875004 | 0.2813% | 0.3013% | 11 | 29575747 | 3.9535% | 3.9621% |
31 | 6411455 | 0.3723% | 0.3618% | 10 | 32428895 | 4.3252% | 4.3423% |
30 | 7400492 | 0.4172% | 0.4198% | 9 | 29099947 | 6.4594% | 6.4693% |
29 | 9021576 | 0.4726% | 0.4666% | 8 | 23998472 | 9.3691% | 9.3665% |
28 | 10740177 | 0.5164% | 0.5153% | 7 | 23875685 | 11.4091% | 11.3733% |
27 | 12300661 | 0.5910% | 0.5877% | 6 | 24018501 | 13.9370% | 13.9517% |
TABLE 2
ROYAL MATCH ANALYSIS
(ENHANCED VERSION)
10,000,000 Decks Played | PERFECT | DAVIES |
---|---|---|
Per Deck Win on $50 *Bets: | $3.2773 | $3.0065 |
Efficiency: | 91.7349% |
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 2111717 | 0.9011% | 0.9037% |
46 | 3383 | -0.0001% | 0.0003% | 25 | 1961015 | 1.0119% | 1.0345% |
45 | 18353 | 0.0030% | 0.0010% | 24 | 1923584 | 1.1717% | 1.1754% |
44 | 29395 | 0.0007% | 0.0023% | 23 | 2342628 | 1.3226% | 1.3514% |
43 | 55223 | 0.0069% | 0.0054% | 22 | 2342291 | 1.5149% | 1.5271% |
42 | 80786 | 0.0099% | 0.0106% | 21 | 2500231 | 1.7312% | 1.7363% |
41 | 173071 | 0.0314% | 0.0201% | 20 | 2484415 | 1.9170% | 1.9703% |
40 | 272096 | 0.0311% | 0.0326% | 19 | 2748569 | 2.2354% | 2.2189% |
39 | 347388 | 0.0316% | 0.0490% | 18 | 2576641 | 2.5515% | 2.5140% |
38 | 418217 | 0.0779% | 0.0712% | 17 | 2619991 | 2.8304% | 2.8222% |
37 | 569621 | 0.1220% | 0.1003% | 16 | 2938812 | 3.2253% | 3.2333% |
36 | 700850 | 0.1308% | 0.1352% | 15 | 3077918 | 3.7214% | 3.6654% |
35 | 815824 | 0.1678% | 0.1753% | 14 | 3294481 | 4.0757% | 4.1162% |
34 | 972648 | 0.2258% | 0.2229% | 13 | 3194823 | 4.7808% | 4.7220% |
33 | 1141664 | 0.2774% | 0.2773% | 12 | 3516535 | 5.4100% | 5.4016% |
32 | 1310725 | 0.3056% | 0.3396% | 11 | 3628065 | 6.1460% | 6.1280% |
31 | 1341341 | 0.3993% | 0.4096% | 10 | 3740120 | 7.3129% | 7.4044% |
30 | 1493329 | 0.5048% | 0.4883% | 9 | 2940757 | 8.3377% | 8.3151% |
29 | 1560046 | 0.6066% | 0.5729% | 8 | 2585983 | 9.4554% | 9.4556% |
28 | 1665641 | 0.6758% | 0.6668% | 7 | 3483027 | 12.1492% | 12.2308% |
27 | 1805680 | 0.7901% | 0.7819% | 6 | 4887680 | 14.1385% | 14.1776% |
THE DAVIES SYSTEM
LEFT | TPS-BETS | TPS-EDGE | EST-EDGE | LEFT | TPS-BETS | TPS-EDGE | EST-EDGE |
---|---|---|---|---|---|---|---|
47 | 0 | 0.0000% | 0.0000% | 26 | 2381229 | 0.7913% | 0.8018% |
46 | 3383 | -0.0001% | 0.0003% | 25 | 2550639 | 0.9312% | 0.9318% |
45 | 20589 | 0.0019% | 0.0009% | 24 | 2735606 | 1.0888% | 1.0566% |
44 | 71525 | -0.0088% | 0.0009% | 23 | 2986979 | 1.1860% | 1.1759% |
43 | 150862 | -0.0007% | -0.0001% | 22 | 3335243 | 1.2898% | 1.2869% |
42 | 250891 | 0.0097% | 0.0003% | 21 | 3632284 | 1.4592% | 1.4512% |
41 | 369402 | 0.0194% | 0.0044% | 20 | 3737665 | 1.6570% | 1.7130% |
40 | 502906 | 0.0165% | 0.0138% | 19 | 3604193 | 2.0733% | 2.0626% |
39 | 622449 | 0.0090% | 0.0279% | 18 | 3397649 | 2.4518% | 2.4193% |
38 | 719314 | 0.0598% | 0.0488% | 17 | 3196603 | 2.7735% | 2.7796% |
37 | 802202 | 0.0901% | 0.0787% | 16 | 3083429 | 3.1543% | 3.1544% |
36 | 892655 | 0.1192% | 0.1149% | 15 | 3042799 | 3.6075% | 3.5434% |
35 | 964436 | 0.1332% | 0.1522% | 14 | 3212390 | 3.7979% | 3.8684% |
34 | 1024690 | 0.2054% | 0.1959% | 13 | 3517161 | 4.3052% | 4.3008% |
33 | 1075104 | 0.2500% | 0.2506% | 12 | 3787099 | 5.0876% | 5.0407% |
32 | 1137433 | 0.3071% | 0.3124% | 11 | 3758762 | 6.0972% | 6.0692% |
31 | 1232305 | 0.3604% | 0.3728% | 10 | 3447739 | 7.1186% | 7.2093% |
30 | 1402885 | 0.4500% | 0.4349% | 9 | 2931329 | 8.3254% | 8.3024% |
29 | 1669190 | 0.5104% | 0.4992% | 8 | 2498463 | 9.3508% | 9.3534% |
28 | 1939498 | 0.5979% | 0.5751% | 7 | 1994831 | 10.1246% | 10.1801% |
27 | 2178521 | 0.6854% | 0.6738% | 6 | 1334755 | 10.4211% | 10.4522% |
For more information on blackjack side bets and professional blackjack card counting systems, see the Blackjack Forum Professional Gambling Library.
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Blackjack side bets come in many shapes and sizes. Many traditional and online blackjack games have their own lineup of side bets. It would be impossible to come up with a complete list of side bets, though all blackjack side bet options generally fall under a few different categories. Here's a breakdown of both common and obscure blackjack side bets.
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Super Sevens Side Bet
The 7 card is a big player in blackjack side bets. Pick up lines about gambling winnings. Sometimes called Super Sevens bets, this side bet is a proposition wager on whether or not the first card you are dealt is a 7. This bet traditionally pays off at 3-to-1.
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Another Super Sevens side bet is whether the first two cards you receive are 7s. Because this is a far less likely event, a winning Double Sevens bet pays off at 50-to-1 or more. Taking it a step further, some casinos that use multi-deck blackjack shoes offer Suited Sevens bets, which state that if you are dealt two suited sevens, you win a payoff as high as 100-to-1.
There's one more Super Sevens bet that is one of the least likely occurrences in the casino. If the first 3 cards you are dealt are 7s, regardless of suit, you can earn between 500-to-1 (for unsuited triple 7s) or as much as 5,000 to 1 (for suited triple 7s).
Royal Match Side Bet
The Royal Match bet pays a small bonus if the first two cards you receive are suited, called an 'easy match', and a much larger bonus if the first two cards you receive are a suited king and queen, which is called the Royal Match. You'll find several versions of this side bet, with the payouts expected just under 97% to 93%.
Streak Blackjack Side Bet
Blackjack Royal Match Odds Calculator
One blackjack side bet you might not see as often in the streak bet. In this proposition, you win the bonus if you have a certain number of winning hands in a row. When you have split pairs, you'll need to determine a net win for the total hand. For instance, if you split 7s and win on one hand while pushing on the other, that's considered a net win. Take note that most streak bets don't allow you the surrender option.
Over/Under 13 Side Bet
This proposition calls for you to bet on whether your hand will be over 13, under 13, or exactly 13 after you're dealt two cards. For the purpose of this bet, aces count as 1. If you make this wager and all things are even (when card counting), the better proposition is to be Under 13, which has a house edge of over 6% instead of over 10%. The exactly 13 bet, which pays at 10 to 1 odds, is over 7% house edge.
Pair Square Side Bet
In this bet, you win money if your first two cards are a pair. If the first two cards are a suited pair, you're paid even more. This blackjack side bet, which has been spotted in Las Vegas, Atlantic City, and Tunica, is one of the better side bets in blackjack from the player's perspective. The expected return ranges from 99.41% for a popular one-deck variation to a 96.15% for one of the six-deck variations.
21 + 3 Side Bet
The 21+3 side bet in blackjack is based on the first two cards you're showing and the dealer's face card. If the combination of these cards are a straight, a flush, a straight flush, or a three of a kind, you win your side bet. The house edge on these games ranges from over 2% to somewhat over 3%.
Sweet Sixteen Side Bet
The Sweet 16 side bet in blackjack pays if you get a 16 or more on your first two cards. This bet pays at 1 to 1. Also, one ace pays at 1 to 1, while two aces pay at 2 to 1. If you get a pair of 2s through 7s, you get a push. This combines for a 97.42% house edge.
Lucky Ladies Side Bet
The Lucky Ladies bet involves making a 20-hand, while the best payoff is for a pair with the Queen of Hearts. If you receive a Queen of Hearts pair making 20, you're paid at 125 to 1. If you receive a Queen of Hearts pair while the dealer makes a blackjack, you win 1000 to 1 in payoff money. A matched 20 (matched rank and suit) gives you 19 to 1 odds, while a suited 20 pays off at 9 to 1. If you build a hand with an unsuited 20, you're paid at 4 to 1.
Bonus Blackjack Side Bet
This is a series of side bets in which either you or the dealer, or both, get a blackjack. You can bet on the player getting the blackjack, the dealer getting the blackjack, or both of your hitting on it. If both you and the dealer get blackjacks with an ace and jack of spades, you win a progressive bonus payoff.
More Blackjack Side Bets
Below are some other blackjack side bets you'll find in casinos. Each blackjack floor is going to offer its own list of side bets, so learn what the side bets are in the local card rooms where you live. Online casinos also sometimes offer their own selection of blackjack side bets.
Bonanza Blackjack – Player has a hard or soft 20 and the dealer has a 10-point card of any type. Lenovo 330s m.2 slot ssd.
Hi/Low Side Bet – You can bet on whether your first card is going to be higher or lower than the dealer's card.
2 through 6 Side Bet – If the dealer is dealt a 2 through 6 card, you win a side bet.
Jack Magic Side Bet – This involves getting jacks in your hand and the dealer's face-up card. You're paid more for one-eyed jacks.
Match the Dealer Side Bet – For each of your first 2 cards which matched the dealer's up card, you win a side bet.
Lucky Lucky Side Bet – This involves getting certain combinations in your first 2 cards and the dealer's up card: 777, 678, and other combinations that add up to 21.
Bonus Spin Side Bet – In this game, you'll receive a spin at a wheel if you win the bonus spin side bet. The prize wheel range from 5x to 100x.
Dare Any Pairs Side Bet – This bet pays at 11 to 1 and is simple as can be. If your first two cards are a pair, you win the 11 to 1 bet.