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American Casino Guide author, Steve Bourie, interviews blackjack expert, Henry Tamburin, for tips on how to be a long-term winner at blackjack. However, professional blackjack players claim that your long-term win from hitting 7-4 represents 0.147 times the original bet you placed, while the long-term win from doubling down on the same hand represents 0.127 times that bet. Or, in case your original bet is $100, your average gain for that hand will be $14.7, while if you double down. Basic strategy is not enough! We get emails from people all the time talking about how they downloaded our blackjack charts, took them to a casino, and won some money. That’s great news for them, but it could have easily gone the other way. Basic strategy cannot overcome the house edge even if you get lucky with it from time to time.

Yes, in a negative expectation game (as most are) the longer you play the more likely you are to lose. If you want to maximize your chances of a net win, at the cost of a possible very large loss, then the best strategy is to bet more after losing, thus trying to recoup past losses. The Martingale is an example of a very aggressive form of this strategy.

This is a close variation of the Martingale betting system, in which the player doubles after every loss. Usually, the Martingale player will win but occasionally he will have more consecutive losses than he can handle and suffer a major loss. Assuming your friend is betting on the player, the probability that any given bet will begin a streak of nine losses in a row is (2153464/(2153464+2212744))⁹ =~ .001727, or 1 in 579, assuming ties are ignored. There is more information available about the folly of the Martingale in my section on betting systems. However, the more ridiculous a belief is the more tenaciously it tends to be held. It usually takes a big loss to possibly convince a believer in any particular betting systems to stop.

Every betting system based on a negative-expectation game like craps is doomed to eventual failure. By tripling your bets, you will have bigger single wins, but you will reach your bankroll limit faster and have more losses. It all averages out to the house edge in the long run.

My Java games are based on the random number generator that comes with Visual J++. For personal play, it should be quite fair. I speculate that any bias would only show up over millions of hands. Your results are not the result of a biased random number generator but of both luck and a progressive betting system.

The probability of getting any number three times out of 4 is 38*4*(1/38)³*(37/38) = 1/5932. However, if you play long enough you almost can't help but notice unusual events like this. This does not nearly rise to the level of being suspicious. Cheating does occur in real casinos. It is usually a rogue dealer who is caught by casino security. There have been some strong cases of cheating made against online casinos but no governmental authority has ever convicted anyone to the best of my knowledge.

If the maximum loss is 255 units then you can bet up to 8 times. The probability of losing eight bets in a row is (19/37)⁸=.004835. So, you have 99.52% of winning one unit, and 0.48% of losing 255 units.

In the long run it doesn’t matter what you do. As I have said numerous times measured by long term results all betting systems are equally worthless. Systems in which you chase loses with bigger bets increase the probability of a modest short term win but at the cost of even bigger losses when your luck is at it’s worst.

The expected loss is 5.26% of total money bet. This is true of ANY betting system based on American roulette rules.

The name for this system is the Martingale. Ignoring ties the probability of a new loss for a hand of blackjack is 52.51%. So the probability of losing 8 in a row is .5251⁸ = 1 in 173.

The Martingale is dangerous on every game and in the long run will never win. However it is better to use in baccarat than roulette, just because of the lower house edge. The probability of the player winning 8 times in a row is 0.493163^8 = 1 in 286. Also keep in mind you could win a hand late in the series and still come out behind because of the commission. For example if you started with a bet of $1 and you won on the 7th hand you would win $60.80 ($64*95%), which would not cover the $63 in previous loses.

I maintain that even with an infinite bankroll, betting limits, and time the Martingale still would not beat a negative expectation game like roulette. My reason is that as these elements approach infinity the expected value of the Martingale on roulette is still -5.26%.

Still, mathematicians I respect have disagreed with me. The debate tends to get very abstract and absurd, hinging on the nature of infinity, which is a man-made construct to begin with. There is nothing known in our universe that is infinite. If forced, I think it is a ridiculous question.

No. Some might argue that it would take an infinite number of losses to lose in this situation, which would be impossible. The truth is that 0.5^infinity approaches 0 but does not equal zero. If this did happen you would lose $2^infinity. The expected return of this strategy is thus 1- $2^infinity * 0.5^infinity = $1 - 1 = 0. Another more graceful way to look at is that as your bankroll increases the expected value still remains unchanged at zero. So the limit of the expected value as the bankroll approaches infinity is zero. In other words an increasing bankroll doesn’t help your odds, even if it goes to infinity.

I had a feeling one of my fellow actuaries might disagree with me on this one but I stand by my answer. I see this as a question of expected value rather than probability. The writer used the word 'ensure', which is related to the word insurance. An insurance policy would have a fair cost of 1, which is simply the product of the probability (1/2^infinity) and amount covered (2^infinity). As I said in my original reply, 2^infinity/2^infinity = 1. So the player would give up his one unit win to pay for the insurance policy. You might argue that the insurance company would never have to pay because they could claim an infinite number of flips have not occurred yet, but I’m assuming a timeless quality in the question. If we did consider time I would be even more right because the player would never live long enough to play an infinite number of flips, and any finite number of losses is definitely possible.

I would bet $200 on the player bet in baccarat. If it wins, walk, if it loses then bet $400 (or whatever you lost). Then just go into a Martingale until you win your $200 or lose your entire $5,000.

If you had a game with no house edge the probability of winning $200 with $5000 to risk, using any system, would be 5000/(5000+200) = 96.15%. The general formula for winning w with a bankroll of b is b/(b+w). So the larger the bankroll the better your chances. The house edge will lower the probability of success by an amount that is hard to quantify. For a low house edge game like blackjack, the reduction in the probability of success will be small. It would take a random simulation to know for sure. Forgive me if I don't bother with that. VegasClick did a small simulation about the probability of success with the Martingale.

My question isn’t about winning long term with systems, as we know that’s impossible. But might systems have a usefulness in ’tailoring’ the losing experience? For example, player A prefers that each trip to the casino he will either win or lose a moderate amount of money (of course he’ll lose slightly more often than win). Player B prefers a chance to make a little money 4 out of 5 trips, and lose lots of money 1 in 5 trips.

Both will lose money in the long run, but is there a betting system that might help each accomplish his goal?

Yes. While betting systems can not change the house edge, they can be used to improve the probability of achieving trip objectives. Player A wants as little risk as possible. To minimize risk he should flat bet. Player B wants a high probability of a trip win. He should press his bets after a loss. Such a strategy carries the risk of a substantial loss. Although you didn’t ask, a player who wants to either lose a little or win big should press his bets after a win. This kind of strategy will usually lose, but sometimes will have a big win.

Blackjack is a super popular game which also happens to be home to some of the biggest myths about gambling and winning, inevitably leading to people using various tactics to try and up their chances of landing that huge win. Of course, you’re free to try as many of these strategic techniques as you want, but let’s be realistic: there’s no silver bullet that will magically help you eliminate the house edge and one-up the casino in just a couple of swift moves. But what there is, however, are various ways to lower the house edge and get a slight advantage through a series of strategic decisions. Playing smart will not only improve your understanding of the game but also give you a chance to minimise your losses and therefore get a somewhat higher win over time. Keen to learn more? This blackjack strategy guide will give you a rundown of the basic and more advanced strategies – so stay strapped in if you want to know how to get started!

Using Blackjack Strategy: Basic Principles

Blackjack isn’t all fun and games – there’s some serious thinking to be done if you want to master a strategic approach to this game. Don’t worry though: as daunting as it sounds, in the end, all blackjack strategy comes down to is basic arithmetic and probability. There are many tools to help you learn. Strategy charts are a very common reference point for players. These combine the possible hands of the player and the dealer and give you the best follow-up moves depending on each combination.

Blackjack Strategy Chart

• = Hit
• = Stand
• = Double

Of course, playing at a land-based casino, you’ll have to work on memorising a chart. This is made easy with colour coding, with each hue representing a move like hit, stand, double or split. On the other hand, playing at one of our top recommended online casinos will give you the chance to use a chart as you play!

Scouting the Best Blackjack Tables

Before you hunker down and start learning some blackjack tactics, there are a few things to scope out. Namely, the place where you’ll play. Blackjack tables online are ten a penny, so you’ve got to be prudent about where to settle down and play. Our reviews of the best online casinos in the UK are a great starting point for that, so we’d recommend you check out some of the online casinos in this top list. Alternatively, our guide to the best blackjack casinos can serve as a more pointed resource tailored specifically for blackjack players.

When looking for the right table(s) to play at, always keep an eye on the details. For instance, table limits are important to consider as these can vary wildly. While some tables start at just £0.25, others may be more geared towards high stakes gambling with table minimums that start at £50 or more. Another factor to consider is the number of decks in play. Typically, you’re looking at 5 or 6 decks, but there are also single or double deck games both online and offline (though online, the former is more common). This may seem like a small difference, but the number of cards in play does have a massive effect on probability.

The number of players also matters for similar reasons. Simply put, dealing out one, two or three hands will impact not only how many cards there are left in the shoe, but also what that implies for your chances. That’s why many blackjack strategy experts advocate sitting at a crowded table only if you’ve got a good deal of experience to back you up. Lastly, shuffling also matters. Most dealers will shuffle by hand and place the deck(s) in the shoe, while some tables employ a continuous shuffling machine. This contraption mixes up cards constantly, virtually eliminating your chance to know what’s left in the deck and make it harder for you if you try to count cards.

What is the Best Blackjack Strategy to Use?

It’s hard to pin one particular chart down as the overall best blackjack strategy. This is mainly due to the fact that there are several game variations, with each game’s slight difference in rules rendering an adjusted strategy chart. For instance, Blackjack Pontoon players follow a subtly different chart than those playing Double Exposure. Nevertheless, there are some basic blackjack strategy guidelines and tactics that can be applied to all variations of this game. We’ll tackle these in the following section.

Blackjack Tactics for Beginners

Whether you play Blackjack Surrender or Single Deck Blackjack, there are some common threads that allow you to make smart decisions and, hopefully, reach a rewarding outcome. These may seem incredibly obvious – but you’d be surprised at how many people approach the table without any knowledge of the basics and hit, split or double up willy-nilly! So, all things considered, it never hurts to review the basic blackjack tactics, if not for anything else then at least to have you avoid looking like a total noob at the casino.

• Basic Blackjack Principles
• Check the dealer’s upcard – This will help you gauge how likely the dealer is to win or lose a round.
• Stand on 17 and up – It’d be extremely unwise to hit with such a high count – you’ll most likely go bust!
• Split Aces and 8s: These are the best pairs to split – you’re nearly halfway to a win, twice!
• Double with 11 points – This is an advantageous position, so use it!
• Don’t take insurance: It’s mostly a rip-off, so swerve it.

That’s fairly easy, isn’t it? Of course, there are additional guidelines and recommendations – for instance, never split pairs of 10s or double when you’ve got a soft 19 and the dealer has a 6. For those keen to practice, you can check out our casino games demo player with a handful of blackjack favourites!

Test Your Basic Blackjack Strategy

To help you practice what we’ve just preached, here’s a quick exercise in blackjack basics where you can test out the principles we’ve just gone over. Take a look at the hand on the left and decide what to do next and see if you’ve mastered the basics. Option A – Hit. Option B – Stand. Option C – Double Down. Click the expandable text to find out, whether you succeeded or not.

Blackjack Strategy Trainer

HOW DID YOU DO? If you chose option C, then you’ve mastered this little example, well done! The dealer will stand on 17 they turn a 10, so doubling down for a 7 or higher is a nice move. But there’s still more things to learn. Stay put and get the scoop on some principles of the more advanced blackjack strategies.

How did you do? If you’ve mastered this little example, well done! But there’s still more things to learn. Stay put and get the scoop on some principles of the more advanced blackjack strategies.

Advanced Blackjack Strategy

If you’re feeling confident in your basic strategy for blackjack, time may be ripe for moving onto some more advanced methods. We’d be lying if we said that these will usher in an era of endless wins. However, that’s not quite how this card game works (and, frankly, if it were so, it would take all the fun out of the experience, wouldn’t it?). So, mastering an advanced strategy simply means playing in a way which minimizes your losses over time – and, consequently, ups your wins. Apart from observing the basic tactics explained above and making good use of strategy tables, here are some general steps or levels of advancement you can undertake in order to join the ranks of blackjack heavyweights.

As you can see, these are long-term strategical approaches instead of direct shortcuts to astronomically high wins. Frankly, this is what it boils down to in blackjack – playing smart and thinking strategically will, in the long run, prove rewarding. All you need to do is stay alert, don’t get swept up in the thrill of the game, and think before you act.

Basic Blackjack Strategy for Side Bets

There are several options for side bets among the existing blackjack variants out there, and they are offered both at offline and online tables. Since availability is not an issue, the only thing to address is when a side bet is worth going for. Apart from insurance, which is best left untouched, various side bets offer players the chance to wager on various scenarios, out of which some can actually be very rewarding if played right (otherwise the RTP can be quite low). With that in mind, many pro players choose to stay away from side bets and focus on good basic play. This is something to consider as we browse the options. Here are some of the more common side options to consider.

Perfect Pairs

As the name suggests, Perfect Pairs is a wager placed on the player’s expectation to get a number pair in his hand. Your wager should be equal to the original one, and the initial wager and the side bet are treated separately, meaning you can lose one but win the other, and vice versa. You get different payouts based on what colour and suit the cards are. For instance, a 5:1 payout is in store for mixed colour and suits, while same colour but mixed suits gets 10:1 and the same suit, same colour combo gets you 30:1. While there’s nothing wrong with using this side bet every so often, there’s little benefit in doing so long term – the side bet has an extraordinarily large 6% house edge (which is crazy high compared to most blackjack house edge averages).

Royal 20’s

Another attractive side bet is the Royal 20’s, which pays a player out based on whether he or she has a total of 20 in the initial hand (if the player opts for this, of course). It pays up to 25:1 for two cards of the same suit, while same suit but non-face cards get 10:1 and unsuited get 5:1.

21 + 3

Though there are various versions of this side bet, especially in land-based casinos, in principle, the 21+3 bet is based on the player’s hand and the dealer’s up-card. If you opt for this side bet, most commonly you’ll get a payout of 9:1 when the three cards form a straight flush (three cards of the same suit in a sequence), three of a kind, straight, flush or pair and flush.

Bust Bonus

Another side bet you might come across, the Bust Bonus, is perhaps also the only side bet that allows the players to take it after they have played their hand. You can bet before the dealer plays her or his hand – even if you have already busted you own! You might have already guessed it from the name – the Bust Bonus is a wager you can place on the dealer busting when she or he reveals the hole card. Observe the dealer’s upcard and you’re halfway there, but win the bonus, and you can have up to a 50:1, depending on the combination of cards in the dealer’s hand.

How to Decrease the House Edge

Knowing the basics and the side bet options have hopefully given you a good overview of the game. Though we should note that, with blackjack being an ever-evolving game, it is still possible to spot other fringe side bets depending on the casino you play at. That being said, there’s some tips and guidelines which will help you make use of the rules and your own strategic thinking in order to minimise the house edge if you play well. The foundation of this should be a basic strategy for blackjack, for instance, the total-dependent or composition-dependent one. The former observes the total of the player’s hand but not the composition and considers whether the hand is soft or hard and whether actions like splitting, doubling or surrendering are possible. There are total dependent strategy charts for games with one deck, two decks or four or more decks, as here the total number of cards also plays a role.

Alternatively, the composition dependent approach considers the make-up of the hand in relation to the rest of the cards in the deck. However, this strategy works best in single deck games. For instance, a hard 16 hand can consist of a 10 or a 6, or even a 7, a 5 and a 4 – so the two compositions are wildly different. Whereas a T-D strategy chart would tell you to hit on both, the C-D strategy proposed standing with a three-card 16 and hitting on the other one.

Basic Blackjack Strategy Chart

Another thing to observe is whether the dealer hits or stands on a soft 17 (an Ace and a 6). This detail plays a huge role because it might influence the rate at which the dealer busts, which, of course, gives you an advantage. Pay close attention to the blackjack variant or even table – this rule should be clearly designated each time. Re-splitting is another touchy item on the table: some games allow you to split a second time, with some casinos even allowing unlimited splitting. Keep your eyes peeled for the chance to re-split Aces: if allowed, playing this strategy could further reduce the house edge by 0.08%.

Bogus Blackjack Strategies

As much as you might want a foolproof method to beat the house, we’re sorry to say many approaches that call themselves ‘strategies’ are actually absolute biscuits. Whereas some roulette players stay true to the Martingale system, for instance, we’re talking about a different game here and, as it turns out, with blackjack, you’re best off sticking to the good old strategy charts. Let’s take a look at some of the less-advisable methods.

Martingale/Doubling Strategy

A simple approach like Martingale is based on doubling your wager after each loss, meaning that a win will recover your lost wagers and give you a profit of one unit. This sounds fair and square and also quite attractive, but this strategy spells out trouble for blackjack players. Options like splitting or doubling down complicate the matter, so, to actually employ this strategy you’d need a sizable bankroll. Plus, you’re likely looking at more losses than wins considering that there’s roughly a 52% chance of losing a hand. Considering this detail combined with the fact that maximum table limits are a thing in real life, you’re likely to hit a wall with doubling your bets before you recover your losses.

Fibonacci Betting

Inspired by the principle of the Fibonacci sequence, the betting pattern of the same name involves making a wager which is always the sum of its two predecessors. That means that, starting from two wagers of one unit each, the third one will be the sum of the first two, the fourth one the sum of wager two and three, and so on. This repeats until you win, which is when you go back and start from one. However, this method again ignores the element of doubling up, splitting, re-splitting, etc, so you’d need a really hefty bankroll to pull through with the Fibonacci method. As intriguing as it sounds, perhaps it’s better to stick to this approach when trying to replicate renaissance paintings.

D’Alembert Strategy

This strategy is somewhat similar to the Martingale approach – but slightly tweaked. While you increase your bet by one unit after a loss, you also decrease your bet by one unit after a win. And even though this system was presumably invented with card games in mind, it’s still hard to apply the D’Alembert system to blackjack due to the quite common streaks of losing hands, as we’ve mentioned before.

Practice Makes Perfect

Put your knowledge to the test and hit up the play table to see how far this blackjack strategy guide has got you! Don’t want to risk losing any money while you learn? No worries – there are plenty of practice play game versions and demos where you can try out a hand of 50 (or 500 for that matter) and apply a strategy chart in combination with other tactics described above. Alternatively, you can opt for a casino with a no-deposit bonus or a free play reward to still have a crack at playing with real money. Keep at it until you feel like you’re making a small profit after breaking even, or after you feel completely comfortable with the game. Only then move on to real money play – it’d be a shame if you succumbed to impatience and lost a chunk of money as a result!

Our Verdict on Blackjack Strategies

How To Play Blackjack Strategy

As you can see, there’s no magic or mystery to mastering the best blackjack strategy out there – simply stick to the fitting chart and keep in mind the principal rules applied at a specific table and choose your tactics carefully based on those rules. We could go on for days and explore various angles and takes on how to make smart gameplay decisions – but that won’t help you further, will it? Instead, focus on the basic blackjack tactics, helpful tools and a realistic long-term strategy and you’ll be on your way to becoming a skilled blackjack player!