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Gambling Odds Blackjack

3/25/2022

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House edge is a percentage which is worked out for all casino games, both online and at land-based casinos. The game of blackjack has a house edge of 2-3%, if the player isn’t using a strategy. Blackjack Odds and Probabilities. Blackjack, unlike other gambling games is not considered a game of chance, it is one that you can win if you start applying some knowledge. Unlike many other games where the result depends on player luck only, this game provides probabilities depending on the player decisions.

Understanding the odds is a major factor in becoming a successful player at blackjack. Blackjack is one of the only casino games that is beatable, meaning that by acquiring the right skills, players can swing the advantage into their favor.

Article Highlights:

Gaining The Advantage Strategy Event Frequency House Rules Summary


Blackjack Gambling Online

casino: Casino Action

For beginners, professionals and players in between, blackjack is a universally popular casino game due to its fast pace, relative simplicity, and excellent odds.


Gaining The Advantage

An important step in mastering blackjack is learning how to play using basic strategy. Players who rely solely on hunches and gut feelings to play will likely give up a much greater edge to the house. Basic strategy is relatively easy to learn and anyone can do this with a little practice online. Learning to play blackjack using perfect basic strategy will reduce a casino's edge to a mere 0.80% - the second lowest among all table games - and slightly to far better odds than those offered at roulette tables and slot machines, respectively.

Blackjack is a dependent variable game, meaning that as each card is dealt from the deck(s), the odds of any remaining card - like an Ace or 10 - coming up next is constantly changing. If you're playing a single deck game, before any cards have been dealt, you know that the odds of any Ace being dealt are 4 out of 52. If the first two cards dealt are both Aces, then there is only a 2 out of 50 (or 1 in 25) chance that the next card will be another Ace. Over time, experts have used computer simulations to determine that high cards like Aces and Tens are beneficial to the player, and conversely, small cards are good for the dealer. If you are able to keep track of which cards have left the deck, you would obviously stand a better chance at knowing which cards remain, hence which ones are most likely to be dealt on the next draw. This is where the house edge is nullified, and the player begins to build a small, yet sizable edge over the house. Such is the advantage of becoming a skilled blackjack player.

While there are some differences between online blackjack and blackjack at land-based casinos - perhaps most notably the use of continuous shuffle at some online casinos - this article focuses mainly on the basics, which can be applied to most versions of the game.

Adjustments In Strategy

Once you have learned basic strategy, and then how to track the count while playing, the next step is to vary your playing strategy to account for the current game odds at any given moment. If you know that the deck is loaded with face cards, you might not want to hit on 12 against the dealer's up card of 10, knowing that there is an increased likelihood that you will bust. If the deck has lots of tens, you may decide to risk doubling on 11 against a dealer's Ace, even though basic strategy says not to. It is small modifications in play that will cut into the house's edge and put those percentage points on your side.

Other variations in play include changing your betting level. If the odds favor the player, bet bigger. If they favor the dealer, bet smaller. This is common knowledge, but mastering the art of knowing when and how to bet is a key factor in becoming a skilled player. Something to keep in mind is that while adjusting your bets according to the odds at any given time, do so in a reasonable manner. This means avoiding the rapid escalation of bets when the odds shift into your favor. Regardless of whether you're playing real money blackjack at the Borgata in Atlantic City, or a game of multi-player at your favorite online casino, if you jump from 10 to 100 units a hand, chances are someone will notice. Pit personnel are trained to keep an eye out for exactly this sort of thing, so you will need to moderate or disguise your betting. If the odds are in your favor and you win a hand, double your next bet, or raise it by one unit. This is a very natural betting pattern that any player might use, and much less likely to draw unwanted attention. Also note that many online casinos' software employ mathematical algorithms that are programmed to detect wild swings in betting. So, since there is no pit boss to give you the boot at your own computer, the odds of many blackjack games at online casinos do not favor the player when making a large escalation in bet from one hand to the next. Stick with a similar raising strategy to what you'd use at a land casino, and you will be better off.



Event Frequency

Another important factor in blackjack mastery is knowing how often certain events occur. Maybe you've wondered how often blackjacks come up, or what the win/loss/tie breakdown is between players and the house. On average, a player will win 44% of the time, the dealer 48% and 8% of hands will result in a tie. With these odds, you might logically deduce that a player will lose more money than he or she will win. However, you must also take into account the built-in player advantages that blackjack offers like doubling down, splitting, and the fact that blackjack pays out at 3 to 2. While you will likely end up losing more hands than you win, you should just about break even monetarily, because you win more when you do win. If you win a double down, you get twice what you would expect than for winning only one hand, but it still counts as a single win for the player. Also, if the dealer gets a blackjack, you lose only your initial bet, instead of 1½ times the bet, which is what a player wins by getting a blackjack.

The event frequency chart to the right shows us that both the player and the dealer can expect a blackjack at a rate of 1 out of every 20 hands, or 5% of the time. An important thing to remember is that when a dealer shows an Ace, odds are that he or she will make a blackjack 32% of the time, meaning there won't be one the other 68% of the time. If the dealer has an Ace showing, you will be asked if you would like to take the insurance bet, which pays 2 to 1. Since the dealer will not have a blackjack 68% of the time, that's about how often you can expect to lose this bet, thus reinforcing why basic strategy says never to take the insurance bet. So when should you take the insurance bet? Only when you're an expert card counter, and the plus count is sky high, letting you know that the odds are actually in favor of the dealer having a ten card under that Ace. Even then, it is still a risky proposition, so, as a wise guy might say: 'fuhgeddaboudit'!



House Rules' Effect For Players

If you've played blackjack in more than one location, odds are the rules of the game had slight variations. Las Vegas Strip rules are different from Downtown Las Vegas rules which are different from Atlantic City rules which are different from online blackjack rules and so on. So why is there no international standard for blackjack table rules? Basically, casinos like to be able to make small changes in their games to either attract or deter certain types of players. While probably more than half of the tourists and other recreational players only bother to look or inquire about a game's rules as far as the table minimum, smart players know that particular rules have direct relationships on the player's edge. Certain rules impact the edge favorably for players, others add to the house advantage. Looking for a game that has good rules is another important factor in improving your odds.

The house rules chart (to the right) shows us what percentage (positive or negative) different rule variations commonly found at today's casinos will have on a player. Starting at the top, definitely avoid all games where the dealer wins ties. This gives the house a big edge. Next, the lower the number of decks being used, the better the odds for players. Regardless of whether you're playing basic strategy, counting cards, or just guessing, single and double deck games give you better odds of winning. When you play multiple deck blackjack games dealt from a shoe, a blank card (usually colored red or yellow) will be inserted towards the end of the stack. All cards up to this card will be dealt during the game. Once the card is reached, it is time to shuffle. Depending on where the card is placed, the odds will improve or decrease for players. This is known as 'penetration'. Closer to the end of the stack (deeper penetration) is good for players because more cards will come out of the shoe during a game, meaning you have greater chances of predicting the remaining cards as the game progresses. Shallow penetration is bad for the player for the opposite reason. If the marker card is left only halfway into the stack, the odds of predicting what will be drawn next is greatly reduced. Taking it a step further, by playing single and double deck games, you can eliminate this scenario almost entirely as all the cards are usually dealt out.

Going back to the chart, you can see that being able to double on only 10 and 11 has a negative effect for the player, while being able to double on three or more cards and doubling after splits has a positive effect. Look for games where the dealer stand on all 17s - which are pretty common at most land casinos. Avoid games where the dealer does not take a second card until after the players are done. While surrender has a positive effect for players, it is rarely found these days, and even more rarely utilized properly. For more information on surrender, see our blackjack frequently asked questions section. Lastly, try to find games where you are allowed to re-split aces. Most games give you but a single card on each Ace when you split them, and do not allow resplitting of Aces. If you get an Ace on top of your split Ace, naturally you would want to split again, rather than stand on a 12, so this rule can have a big impact on player odds.



Summary

Blackjack is a fun and exciting casino game that is popular with players largely because it is beatable. Become a skilled player and the odds will shift into your favor, giving you a positive expectation of winning. This means that over time, playing blackjack will result in more winning sessions and less losing ones. Understanding basic strategy and counting techniques are critical to your success, but also having good betting strategy and knowing how rules impact the odds is equally important. Little things like these help players. Be sure to at least learn basic strategy, and then you will likely be better skilled than 80% of all blackjack players worldwide. All it takes is a little practice.

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What is the value of the blackjack system called 'Mastering the Flow?' It's marketed via an infomercial, and the website is www.changetheodds.com. It claims not to be a counting system, yet the vague description of the system that the website gives makes it sound like counting to me. The claims are pretty out-there: 'Win every time' etc. I count cards (using the KO PREFERRED), and understand that this new 'system' has to be either a simplistic count strategy, or a scam. Would you look into it for us, the gullible public?

I had a look at the web site and also found what little he says about the theory behind his system makes it sound like card counting. However I'm deeply skeptical of anything that claims to 'blow old fashioned card counting away.' I think we can file this under 'If it sounds too good to be true is probably is.'
Update: The web site in question vanished sometime after the publication of this question.

Winning
Any tips on money management in blackjack? I usually double after a win, go back to my original bet after three wins (or any loss), and play the game according to the book. I usually do pretty well, but it's slow and steady and not very exciting. Any tips?

I don't put a lot of emphasis on betting systems. In the long run you will lose the same percentage of money bet no matter what system you use. So my advice is use a system that maximizes the fun of the game.

In blackjack, do you improve your chances by playing two hands at once for x each, versus 1 hand at a time for 2x? If the odds are better, how much better?

The simple answer is no, it neither helps you nor hurts you. However, you will have less bankroll variance by betting two hands of x as opposed to one of 2x. Card counters are an exception to the simple no, they may play multiple hands to draw more cards out of a deck rich in good cards, thus improving their odds.

Love your site. I've even taken your blackjack data and made it into a full-color pocket-sized page that I carry in my briefcase for those unexpected trips to Vegas. I've memorized and follow your rules and generally do well (but of course there are times when I lose.) Two questions, you said in a previous answer that you don't cap your winnings. How do you determine when to stop? When have you 'won enough' so you avoid regression toward the mean and lose it back?
Second question, does the number of hits one takes effect the outcome? For example, if I have five cards that total 15 against a dealer's 10, am I pressing my luck by taking a sixth card? In other words, are the odds of busting on a 5-card 15 the same as busting on a 2-card 15?

Thank for the compliment and I'm happy to help your bankroll last longer. When I gamble for fun I keep playing until it isn't fun any longer. Usually the fun ends when I have lost too much or have played too long. With the ups and downs of blackjack it takes hundreds of hours before regression toward the mean will cause actual results to look like expected results. Furthermore, the player who puts a conservative cap on their winnings is never going to experience the fun of a long hot winning streak. Keep in mind this is just what works for me. You should do what you are comfortable with. Everything I have to say about money management can be summarized by the following two rules (1) don't gamble with money you can't afford to lose, and (2) don't gamble if it isn't fun.
Regarding your second question, there is something to be said about the composition of a hand. The fewer the decks the more this is true. My blackjack appendix 3A and appendix 3B show the exceptions to single- and double-deck blackjack, based on the composition of the hand. These appendices show that the more cards that are in your hand the more inclined you should be to stand. Regarding your 15 against a 10 example, there are two situations in single deck blackjack where you should stand when the 15 is composed of 5 cards, A+A+A+6+6 and A+A+3+5+5. Note that in both of these situations either two fives or two sixes have left the deck which are the two most helpful cards for the player. The two situations where you should be the most inclined to stand if you have a multiple card hand are 16 against a 10 and a 12 against a 3.

Do you mean to tell me that man has designed a way to put three million transistors on a single chip (microprocessor) the size of a finger nail, and we don't have a way to beat a 50/50 even money game bet. I find that to be unbelievable, besides I found that computer simulations are definitely not the same as live world action. Also why don't casinos introduce video blackjack to thwart the card counters and get rid of dealers?

I have said numerous times that there is no long-term way to beat a game with a house edge. If there were a true 50/50 game with no house edge it would be impossible to guarantee beating or losing to it under real world conditions. The results always approach the house edge in the long-term. It is not just computer simulations that back this up but the fundamental laws of probability.
About video blackjack, that may be the way of the future. I have seen fully electronic tables with video display at the World Gaming Expo. I have also seen tables that with cameras can track every bet and every play each player makes. This enables the house to accurately comp players and alert them to card counters. These tables look and feel like any other blackjack table, so you card counters may be out of business if these tables are successful.

Have you ever heard of the Ken Fuchs progression. If so, would you please e-mail me or post the details on your site.

I’m not familiar with it. Ken Fuchs co-wrote Knock-Out Blackjack so he can’t be all bad. However I just hear the word progression and I’m immediately skeptical.

I’ve got a question about 'progressive betting' (e.g. 'Another Experiment', Player 2 on your Betting Strategies page). Obviously in normal bj play you experience streaks of wins and loses. Where is the faulty logic in 'minimize your losing streaks by resetting at 1 unit, and increase your winning streaks by raising 1 unit after each win?' FYI, I actually play a little variation of that: 15, 30, 45, 50, 75, 100, 125, etc...Thanks for you time. And, please don’t try to humiliate me like Ann {what’s-her-name} on The Weakest Link :-) I really love your site!!! Thanks for all of the great info.

Progressive betting systems, like yours, will turn a good session into a great one without the risk of catastrophic loss as with regressive systems like the Martingale. However progressive systems will turn a choppy neutral session into a bad one. Consider what would happen if you alternated between a win and a loss the entire session. The wins would all be at $15 and the losses at $30. Funny you should mention the ’Weakest Link.’ I tried out for that show during the summer and didn’t make it. It is probably just as well because I’m not that witty in real life and doubt I could come up with a good rejoinder to one of Ann’s jabs.

I play the negative system in black jack meaning I double every time I lose until I Win. I wanted to what the odds are of losing 4,5,6,7,8,9 hands in a row? How many hands should I expect to play till I lost 8 hands which is my stopping point?

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.

Can You tell me the expected return in Black Jack if a player wagers all his money in one hand and not having money for split’s or double’s. Thank You.

If you can’t double or split that adds 1.9% to whatever the house edge is otherwise. This just goes to show that you should always have double or split money available if you need it.

I’ve been playing blackjack for quite awhile using basic strategy, mostly betting an even unit each hand. Occasionally I will increase the bet because I 'feel' like I am going to win the next one. I would think that just about all recreational players bet on feel once in a while at least. I was reading through some of your past Ask the Wizard columns and saw your calculation of the probability of a string of losses in the August 4, 2002 Column. You know those emotional thoughts that pop in head while gambling (well maybe not your head), 'I’m due for a win!'

That column seemed to put the mathematics to that 'feeling' a player can get. In that columns’ example of a player losing 8 consecutive hands of blackjack the odds were (.5251^8 or about 1 in 173). My question though is what does that really mean? Is it that when I sit down at the table, 1 out of my next 173 playing sessions I can expect to have an 8 hand losing streak? Or does it mean that on any given loss it is a 1 in 173 chance that it was the first of 8 losses coming my way?

I know, I know, its some sort of divine intervention betting system I am talking about and no betting system affects the house edge. I’m still curious though. Besides every once in awhile throwing down a bigger bet just adds to the excitement and for some reason it seems logical that if you have lost a string of hands you are 'due' for a win.

I have no problem with increasing your bet when you get a lucky feeling. What is important is that you play your cards right. Unless you are counting cards you have the free will to bet as much as you want. As I always say all betting systems are equally worthless so flying by the seat of your pants is just as good as flat betting over the long term. When I said the probability of losing 8 hands in a row is 1 in 173 I meant that starting with the next hand the probability of losing 8 in a row is 1 in 173. The chances of 8 losses in a row over a session are greater the longer the session. I hope this answers your question.

First let me say I love your site and will be visiting each of the advertisers to help support it. I hope you are doing very well financially as you are undoubtedly saving a lot of people a lot of money. It is amazing what I see in the casinos and will recommend your site to anyone who will listen (most losers won’t, I get a lot of heat when I hit a 12 vs a dealer 2 even when I explain the math). My question is do you have any advice for Blackjack players participating in Blackjack tournaments? I have participated in a few and have came very close to advancing to the 'money' round with no real strategy other than stay close to the leaders on the table and bet it all on the last hand. Any advice would be greatly appreciated!

Thanks for the kind words. I appreciate the thought of visiting the advertisers. However the casinos don’t care about click throughs as much as they used to and now what matters is new real money players, and how profitable those players are. So unless you might actually play there is no pressure any longer to click through the banners.

Blackjack tournaments are not my strong subject. For advice on that I would highly recommend Casino Tournament Strategy by Stanford Wong. Wong says that if you are behind to bet opposite of the leader, small when he bets big, and big when he bets small. If you are in the lead then you should bet with the second highest player. The book gets into much more detail. Speaking of supporting my site, it helps to click through my Amazon links when buying books there.

How do you calculate the expected return for a blackjack game with a .5% house edge and a 20x play requirement and an initial Bank Roll including bonus of $1000. Does it matter if you flat bet (assuming that the bets are relatively small compared to the BR) or bet based on the Kelly criterion, or does the Kelly criterion just affect the risk of ruin?

Your expected loss of this play is 0.005*20*$1000=$100. The betting system will not affect the expected loss, but will affect the volatility.

Does losing a hand at blackjack increase the probability that the composition of the deck is in your favor? More specifically, is your expected return on one hand ever positive after a given net loss since the last shuffle?

Without knowing anything else, if you lost the last hand in blackjack then it is slightly more likely that more small cards than large just left the deck. This would make the remaining deck more large card rich and thus lower the house edge. However I speculate this is an extremely small effect. Yet it does go to show that if you must use a betting system one that increases the bet after a loss is better than one that increases after a win. I hesitate to put this in writing at all because again the effect is probably very small and I fear system sellers will misquote me and imply I endorse any system, which I DO NOT.

I have a question about a blackjack tournament, where only the largest stack at the end is paid. Assume 1000 players start with 100$ in chips and can bet 5 hands at a time, from 1-10$ per hand. If no one knows anything about the other chipstacks, what chipstack should you be looking for before being satisfied?

You didn’t say how many rounds there were. However, I would bet $10 in all five hands every hand, or go bust trying. With 1,000 players and a relatively low max bet you’ll need all the variance you can get.

Gambling Odds Blackjack Poker

As a blackjack player, I recognize betting systems don’t work in the long run. However, having played a lot of blackjack, streaks (good and bad) do happen. So, I am wondering, without card counting, would tracking simple wins vs. losses, compared with the remaining cards in a 6 or 8-deck shoe, deck be meaningful? In other words, would you be able to obtain a small percentage advantage for the remaining third of the shoe if you knew the win-loss ratio was out of whack?

I’ve been wondering this myself for years. In 2004 somebody accepted my betting system challenge, claiming he could beat blackjack without counting. The details are in my page on the Daniel Rainsong challenge. After I posted it, I received a message from a blackjack genius, who goes by the handle 'Cacarulo.' He challenged me under the same conditions and blackjack rules set forth in the Rainsong challenge.

Casino Odds Blackjack

Knowing how knowledgeable he is about blackjack, I felt that he was probably right, so I declined the challenge. I asked anyway how he would have gone about his strategy, but he wouldn’t tell me. I tend to think that he would have bet the minimum most of the time, except if it was late in the shoe, and the ratio of losses to wins was very high since the last shuffle, he would have bet the maximum. The reason is that losing is positively correlated to small cards being played, and winning to large cards. In other words, a benefit of losing is that it tends to make the count better. However, this is a weak correlation. My challenge allowed the player a bet range of 1 to 1,000, which is probably enough to overcome the house edge, but it will be hard to find a real casino okay with a jump in bet size by a factor of 1,000.

Casino Blackjack Odds Of Winning

The short answer to your question is, no, tracking wins and losses will not help enough to warrant the bother of doing it.