Blackjack Match The Dealer House Edge

Of course, the blackjack dealer doesn’t always win, but many people feel the dealer wins a disproportionate number of times in blackjack. It’s a basic rule of the casino business that the house only offers games where it has an “edge”.

The house’s edge is baked into the game.

But the edge doesn’t guarantee the dealer will always win. Over the long run the dealer should only win slightly more often than a perfect player.

Is Match the Dealer a Good Blackjack Betting Strategy? You probably already know that blackjack is a casino game with the lowest house edge. Therefore, casinos first introduced these side bets as a way to increase the edge on their end and earn more money from players. Blackjack automatic winner: -0.21%; Dealer stands on soft 17: -0.30%; The house edge under the Russian rules is 0.20%, assuming early surrender against an ace is allowed. There is also a Super Match side bet based on the player's initial four cards. The following table shows the paytable, probability, and return of each hand.

So what gives?

The old adage “perception is reality” works on one level because you play the game by how you perceive it. But on another level appearances can be deceiving. And sometimes the players themselves are responsible for the deceptive appearances.

Here are 7 reasons why the blackjack dealer always seems to win.

1 – Players May Not Understand Probabilities Well Enough

If you’re not trying to count cards, then you don’t even need to worry about the probabilities. Basic blackjack strategy takes all that into consideration.

In blackjack there are only two kinds of probabilities players should think about. The first and most well-known is the division between theoretical return to player and house edge.

Contrary to some players’ thinking, the house edge doesn’t predict how often the house wins. The house edge predicts how much money the house keeps. The assumption behind the house edge is wager-neutral.

Although the house needs to win a lot in blackjack to get ahead, the differences between payout odds and probabilities of card play create the edge. In any gambling game, if there is a statistical 50-50 chance of a certain outcome, the house will pay less than 1:1 on the odds.

The only other probability players need to care about is the probability that the next card they are dealt helps them. How many people are playing at your table doesn’t matter. What matters is what’s left in the shoe when it’s your turn for a card.

2 – The Number of Hands You Play per Hour Matters

If you’re playing head to head with the dealer, you can go through as many as 200 hands in an hour. If there are four other people at the table with you then each round takes longer. You’ll play fewer hands per hour.

Just using basic strategy against the house, you’ll lose money over time. The game is designed to pay slightly less than the true probabilities allow. So the more hands you play, the more likely the house will “win” your money away from you.

You should still win a lot of hands against the dealer. The house’s strategy is a long game. The more hands you play the more likely they’ll keep some or all of your money.

3 – Bad Game Play Provides the House with a “Hidden” Edge

The casino counts on most players making mistakes or bad calls. An inexperienced player makes a bad call. An experienced player who should know better makes a mistake.

Either way, if you hit or stand when you shouldn’t you make it more likely that the house wins.

If you split when you shouldn’t you make it more likely that the house wins. If you miss an opportunity to split it’s not so bad but you could win twice or more against the house on a favorable split.

Player strategy often enhances the house’s strategy. And whereas you decide your strategy on the fly the house is playing by a very simple rule book. House strategy never changes.

I imagine a guy dancing around a fight ring, trying to show off, while the dealer waits to whack him hard in the face. Your opponent isn’t going anywhere, trying to do flashy moves, or hiding anything. He’s just waiting for you to do something stupid.

With few exceptions players sometimes make it easy for the dealer by using the wrong strategy.

4 – The House Undermines Your Advantage Play

If you count cards the way most people advise you to, you’ll raise and lower your bets in a predictable fashion. This is like jumping up on the table, waving your arms, and shouting “hey, I’m counting cards!”

That strategy may have worked well in the 1960s but today’s casinos just shuffle the cards. All your counting is wasted time and energy.

This is why card counters like to work in teams. They can be more subtle, although the casinos still look for coordinated play.

Continuous shuffling machines may have ruined card counting forever. If not, the larger shoes and option to reshuffle on a whim make card counting a less rewarding strategy for most players.

If it seems like the house is winning more than you think they should, it could be you’re counting cards badly or needlessly.

5 – Are You Tipping the Dealer?

The dealer literally wins when you leave a tip. While this is considered a courteous habit and one I myself practice, it makes it all that much harder for you to get ahead.

I limit my tips to when I leave the table. I’ve seen some players split their winnings on big bets with the dealer. Assuming that’s completely legit, it still reduces the player’s winnings.

Whether you tip the dealer or not, the house is winning if you do tip the dealer. Those tips help casino employees pay their bills. I’ve seen some people argue against tipping because it “supports the system”.

I don’t think it’s fair to push casino employees into a moral quagmire. Either tip or don’t tip, but the tip costs you money. It does affect your win-loss ratio proportionate to how often and how much you tip.

6 – Is the Dealer Feeding You Bad Advice?

I’ve played a few tables where the dealers answered player questions. Blackjack dealers don’t have to be expert players. They only follow one strategy.

If you’ve got a friendly dealer who shares advice, he or she may be well-intentioned but that doesn’t mean they know the best strategy.

I’ve never questioned the integrity of a blackjack dealer. But they may push a progressive bet option. If you want a guaranteed way to improve the house edge in blackjack, go for the progressive wager on the side.

7 – Are You Using a Betting System?

Sooner or later someone sits down at the table with a betting system ready to go. Card counters raise their wagers when they believe the deck favors them but I’ve seen other betting systems.

One guy alternated his bets. He played $25 on one hand and $50 on the next. If he had played perfect strategy it shouldn’t have mattered.

When you talk betting strategies with people someone always brings up the Martingale System. The strategy is simple. Only make minimum wagers until you lose and then double your wager on the next bet to win back what you lost.

The Martingale System requires an endless supply of money, luck, or both. I’ve never met a great blackjack player who believed in a betting system. The best players I’ve sat next to had a set wager amount they always played and stuck to their games.

Conclusion

One of the most important things in gambling is to manage your expectations. The more you expect to win the greater your disappointment will be.

When people allow their expectations to get out of hand they try to make up for disappointment with risky bets. I’ve been one of those guys who got so frustrated he started making aggressive wagers.

When you stop caring about how well you’re playing you should walk away from the table. You can always go back later when you’re feeling better.

The only way the house doesn’t win is if you enjoy yourself and stay in budget. Dropping $200 at a casino is no different from buying $200 concert tickets.

If it’s all for fun and you enjoy yourself the house can’t take that away from you.

By Hon. Ion Saliu, Founder of Blackjack Justice

First capture by the WayBack Machine (web.archive.org) May 21, 2020.

Your Honor, I hereby accuse the Order of Casino Sycophants of damaging public deception. They make-believe that the glamorous game of blackjack has a frivolous house edge. Said game with its odds is so attractive to the masses that we can treat it equally to tossing a golden coin.
Our complaint shall prove that the real conditions of the game are far worse than the fake-news promoted, indeed imposed, by the Order of Casinos and their Sycophants.

Let me just say that benign ignorance has been at the heart of the matter. Nobody really knew what the real odds (probability) of blackjack were. Analysts lacked the fundamental elements required by the fundamental formula of probability: favorable cases (over) total possible cases.

Calculating the odds is the sine qua non condition of calculating the house advantage or the edge the casinos have in the game of blackjack. No casino offers a game where they don't have an edge or advantage. It's their bloodline — a legal requirement, as a matter of fact.

The first attempt at calculating the house advantage in blackjack is granted to John Scarne, a non-mathematical man who had the ambition of being the greatest gambling writer in history. Personally, I grant such honor to Blaise Pascal who analyzed a backgammon game. The historical event is known as de Méré Case and it founded a branch of mathematics hence known as theory of probability.

John Scarne rightly figured out that the casino gains an edge in blackjack because of the simultaneous bust — the dealer and the player bust at the same time. However, when the player busts, he/she loses the bet immediately as he/she always plays first. It is possible that the dealer can bust his/her hand (in the same round), but it is too late for the player; they already lost their bet.

John Scarne calculated the odds of dealer's bust to be 28%. If the player played by the same rules as the dealer, the simultaneous bust would be: 0.28 * 0.28 = 7.8%. But since the player is allowed to stand on 16 or less under certain circumstances, our 'mafia' man calculated that the final odds would be around 5.9%. That's the 'physical probability' of casino winning at blackjack.

The casino offers bonuses to the player, however. They pay 3 to 2 for a natural 21 (Ace+Ten in the first 2 hands of the player). They also allow double-down and splitting pairs. At the end of the day, the bj house advantage goes all the way down to that glamorous figure of 0.5%.

Right now, we focus our attention on the raw figure of 5.9%. Based on that figure (and so-called simulations), everybody agreed that the results of blackjack were:

• 48% winning hands for the dealer
• 44% winning hands for the player
• 8% hands end up as pushes (ties).
• 44/92 = 47.8% winning probability for the player

In order to calculate the probability precisely, we must generate all the elements (blackjack hands) in lexicographical order. Nobody even knows how many hands are possible, as their size varies widely: From two cards to 10 cards (for one deck)! When two or more decks are employed, the blackjack hands can go from two cards to 11 cards.

Of course, there is a lot of blackjack software out there! But all that software belongs to the simulation category. That is, the blackjack hands are dealt randomly. Based on the well-known-by-now Ion Saliu's Paradox, random generation does not generate all possible combinations, as some elements repeat. So, we can never calculate the probability precisely based on random generation. If there are 334,490,044 total possible complete hands in blackjack, only 63% will be unique and 37% will be repeats — if we randomly generate 334,490,044 hands.

I had started years ago a blackjack project to generate all possible hands. It was very difficult. I found the project in the year of grace 2009 and also the code to generate sets from a list (last update: 2014). In this case, the list is a 52-line text file with the values of the blackjack cards, from the four 2's to the 16 Tens, to the four Aces. That's a stringent mathematical requirement. The deck of cards must be also ordered lexicographically, if we want to correctly generate all qualified sets in lexicographical order.

I generated blackjack hands as both combinations and arrangements. Then, I opened the output files (text format) and checked as many hands as possible. Yes, computing things are so much better today than just a decade ago. The generating process is significantly faster.

I wrote a special Web page dedicated to the topic of calculating precisely mathematically the bust-odds at blackjack following the Dealer's rules. There are lots of details, plus screenshots of the probability programs:

• Blackjack Dealer Bust: Software to Calculate Probability, Odds, House Edge, Advantage HA.

Keep this new figure in mind: The odds for a blackjack Dealer's bust are at least 33%. The bust probability is calculated by dividing the number of Dealer's busted hands to the total possible blackjack actions.Blackjack actions is a parameter that counts everything: Busted hands, pat hands (17 to 21), blackjack hands, and draws or hits to the first 2-card hands (incomplete hands). The software does NOT print the incomplete bj hands.

How can we apply the new programming to determine the bust odds for the blackjack Player? After heated debates in forums in 2014, I simply modified my software. The hit-stand limits can be set by the user. Initially, it was fixed — the ubiquitous hit all 16 and under, stand on all 17 or greater.

The software user can set the hit-limit to any value. The choices are, obviously, from 12 to 16. I tried, for example, the hit limit to 11 — that is, hit anything 11 or under, stand on anything 12 or higher. Evidently, there is no bust in such situations. That's another proof that my programming is 100% correct.

I believe that setting the hit limit to 14 or 13 reflects pretty closely the bust odds for the Player. That is, stand on 15 or greater (as arrangements):

Or, stand on 14 or greater (as arrangements):

• Now, the house edge goes between something like .3355 * .2248 = 8.3% and something like .3355 * .1978 = 6.6%. It averages out to 7.5%. It is a far cry from the intentionally false house advantage (HA) of .5%, or even .17% (promoted by several crooks)!
• The overwhelming majority of blackjack players lose their bankrolls quickly, because this is NOT a 50-50 game or so much close to that margin.
• And always be mindful that blackjack is strongly sequential: The Dealer always plays the last hand. Otherwise, the casinos would go bankrupt.

Recalculating the raw figures for winning/losing hands, my theory shows:

• 50% winning hands for the dealer
• 41% winning hands for the player
• 9% hands end up as pushes (ties).
• 41/91 = 45% winning probability for the player

Axiomatic ones, who's right and who's wrong? If you have been a frequent visitor of my website, you already know how many hits I've been taken from casino executives, agents, moles, other gambling authors, system developers, vendors, gurus, bishops, saints, etc. Granted, the attacks against yours truly were far more intense earlier (beginning 1998 and ending early 2000's). They realized I wouldn't get intimidated, so they have given up, by and large.

In this year of grace 2019, I came up with a new idea: Let's set at the same table mathematics and reality. The first attacks aginst me went along the lines: 'Mathematics, specifically formulae, have no place in gambling — as it is totally random.' And I've always counterattacked: 'But what is not random, crooked idiots? The entire Universe is ruled by Almighty Randomness, as voided of consciousness as it might be!'

Standard deviation is the watchdog of randomness. Let's see what figures of blackjack odds are right by employing the binomial standard deviation. Then, compare the results to casino gambling reality.

It is time now to apply the most important bonuses the casinos grant to the blackjack players:

• natural 21 pays 3-to-2
• double down pays 2-to-1 (if successful)
• splitting pairs pays 2-to-1 (if successful).

We ignore the current tendency in the gambling industry to pay a natural bj 6-to-5.

The double down success is closely around 60%. The same success rate of 60% occurs in the pair splitting situations.

Next, it is very important to know the probability/odds of appearance for the 3 bonuses above.

• natural 21 occurs in 4.8% of cases, but only when dealing 2 cards to oneself at the beginning of a 52-card deck. We average the odds to 4% for multiple players (4 players and a bj dealer is an average situation in my book). Refresh your memory by reading this popular resource:
  • Calculate Blackjack Probability, Odds: Natural 21, Insurance, Double-Down Hands, Pairs.
• double down hands have an appearance rate of 8%, as first calculated by yours truly. Please read this very popular resource:
  • Calculate Probability of Double-Down Hands.
• splitting pairs hands have an appearance rate of 3%, as first calculated by yours truly. Please read this very popular resource:
  • Calculate Probability of Split Pair Hands.

Blackjack Match The Dealer House Edge Calculator

Axiomatics, we run my probability software widely known as SuperFormula.exe, the function D: Standard Deviation. We run the function twice: First, for the traditional black jack parameters (5.9% odds, 48% winning probability for the player); secondly, for what I consider closer-to-reality blackjack parameters.

We take a common case of playing 100 hands. That is, the blackjack player must cash in the amount needed to play 100 hands at the minimum bet. For example, in the rare case of $10 minimum bet, the player must chip in at least $1000. I can't stress enough the stupidity of players who start with $100... they lose quickly... then leave the table... go to another table and cash in $100... etc. Vae victis! Poor victims!

WHOA! ON AVERAGE, THE PLAYER WINS 52 BET UNITS AFTER PLAYING 100 HANDS!!! That's a flagrant impossibility in 99.7% to all blackjack players, in all casino situations. You and I will never, ever, see a basic strategy player be ahead $52 after playing 100 hands, at $10 table minimum!

We come back to earth by going with my fundamental blackjack parameter: 45% winning odds for the player.

You, the player, do lose. Still, this is the happiest case calculated by my blackjack-odds software: One deck of cards. Today's PCs are still incapable (at least in the case of this programmer) to calculate for two or more decks of cards. But I experimented with calculable amounts of cards. The rule is very clear: The more cards, the worst the odds get for the player. In other words, the more decks, the worse conditions for the blackjack hopeful! And even worse with multiple players at the table (the common reality)!

Haven't you witnessed this in any casino, at any blackjack table? The overwhelmingly vast majority of players lose their bankroll quickly. They leave the venues almost on their knees. 'How the hell is this possible,' they ask themselves (sometimes loudly). 'Blackjack is supposed to be a 50-50 game... damn it!'

It ain't such a golden coin game, kokodrilo (royalty-name for big-time gambler)! I'm afraid you were misguided big-time... you still are. You are mostly cheated by the card-counting crooks, the bedfellows of the casinos in that gambling bedlam! You go by their insane odds and you are guaranteed to win as a matter of fact. Play 100 hands and win $52 at $10 minimum bet. Well, then, ask for a $100 table minimum and make a $500 net. This is the average, but it will be confirmed in any reasonable long run. Not the billions of hands long-run prophesized by the crooks!

Blackjack: Software, Content, Resources, Systems, Basic Strategy, Card Counting

• Blackjack: Basic Strategy, Card Counting, Charts, Tables, Probability, Odds, Software.
• The Best Blackjack Basic Strategy: Free Cards, Charts.
  All three color-coded charts in one file, in the best decision-making sequence: Split Pairs, to Double Down, to Hit or Stand.
• Gambling Mathematics in Blackjack Proves Deception of Card-Counting Systems.
• Probability Software to Analyze Blackjack Streaks: Wins (W+), Losses (L-), Busts, Pushes.
• Best Card Counting Blackjack Systems, Casino Marketing, Gambling Deception, Fraud.
• The Best Blackjack Strategy, System Tested with the Best Blackjack Software.
• Blackjack Insurance Bet Favorable to All Players.
• DownloadSoftware: Casino Gambling, Roulette, Blackjack, Baccarat, Craps.
• Specific software for blackjack, BJ
  ~ BJAQK and Blackjack: Probability and statistical analyses of thousands of blackjack hands from the perspective of a strict blackjack old basic strategy (OBS) player.

Blackjack Match The Dealer House Edge Chart

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