You keep 95% of the money you walk around the clubhouse with, and the betting club keeps 5%. The session of blackjack offers the best odds of winning for the players, yet just if you think about the components that impact the odds. The components are total. The odds of winning a blackjack hand are not determined just by your tactic and play but also the rules the house has set. Each casino had different variations of the moves you are allowed to make and the regulations it follows. There are standard rules that are accepted by all casinos. James from Palo Alto, California. According to my blackjack appendix 4, the probability of an overall win in blackjack is 42.22%, a tie is 8.48%, and a loss is 49.10%. I'm going to assume you wish to ignore ties for purposes of the streak. In that case, the probability of a win, given a resolved bet, is 46.36%.
- What Are The Odds Of Winning In Craps
- Blackjack Odds Table
- Blackjack Odds Chart
- Blackjack Betting Guide
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Blackjack odds are percentage figures which represent your probability of losing or winning a hand. They can also represent the house edge or their profit margins as well. Usually probability odds don't mean much on the short term, but they clearly average out in the long term and this is why the casinos always win over the long term.
We decided to make a few tables and charts of the most common blackjack probability odds for various scenarios and situations found while playing blackjack. The most important odds percentage represents the dealer's edge in the game. This is the long term advantage that they have which will eventually take your money away. Blackjack is actually one of the most popular games in the casino and also has some of the lowest odds of all the casino games, except casino craps of course. Generally their edge ranges from 1% to 15% depending on what variation of blackjack you are playing.
How to Beat the Casino House Odds
There is one feature that makes blackjack more desirable than any other casino game. There is actually a way to beat the house edge by increasing your odds. In fact, your probability odds in blackjack can be increase to the point where you would actually be making the profit in the long term, essentially turning the casino into a personal ATM. This practice is known as card counting and casinos don't like this because they know they will be losing money.
Before you start card counting, you should learn 'blackjack basic strategy', which is the mathematically correct way to play every move in blackjack to get the best odds. This can lower the house edge to less than 1 percent. When that percentage goes to a negative number such as -1%, then it is you who has the edge over the casino. This is when you complement basic strategy with card counting to get the highest efficiencies.
Odds vs. Dealer Up Card
The first odds chart shows what kind of advantage the player has vs. the dealer based on what his up card is showing. The first column in the chart is what card the dealer has showing after the cards have been dealt. The second column of the table shows the dealer's probability of going bust based on each card. The last column shows the advantage the player has and the probability of winning based on the basic strategy theory. As you can see, the dealer has about a 43% chance of going bust when he has a 5 showing as an up card. At the same time, the player has about 23% advantage as well. Notice that the player advantage goes negative when the 10 cards and ace start showing up. This means the player is more likely to lose.
| Dealer's Up Card | Dealer Odds of Busting | Player Advantage Percentage |
|---|---|---|
| 2 | 35.30% | 9.8% |
| 3 | 37.56% | 13.4% |
| 4 | 40.28% | 18.0% |
| 5 | 42.89% | 23.2% |
| 6 | 42.08% | 23.9% |
| 7 | 25.99% | 14.3% |
| 8 | 23.86% | 5.4% |
| 9 | 23.34% | -4.3% |
| 10 | 21.43% | -16.9% |
| J | 21.43% | -16.9% |
| Q | 21.43% | -16.9% |
| K | 21.43% | -16.9% |
| A | 11.65% | -16.0% |
Blackjack odds of Busting While Taking a Hit
This chart shows the probabilities of going bust after taking a hit. Busting means that your card total would go over 21 points and would be a hard total as well. The highest score you can get when being initially dealt two cards is 21 points so you can never go bust. This means if you took a hit on a hard 21, you would have a 100% probablity of going bust, which is common sense. Also, if you have 11 points or less, it is impossible to go over 21 points on the next hit and your odds of going bust would be 0 percent.
| Total Hand Value | Probability of Going Bust |
|---|---|
| 21 | 100% |
| 20 | 92% |
| 19 | 85% |
| 18 | 77% |
| 17 | 69% |
| 16 | 62% |
| 15 | 58% |
| 14 | 56% |
| 13 | 39% |
| 12 | 31% |
| 11 or less | 0% |
House Advantage with Multiple Number of Decks
The number of 52 card decks in a game of blackjack influences the house edge. In some cases, the odds increase in favor of the casino when more decks are used. Mac as alexa multi room music. The advantage edge can be as much as 1% towards the casino and this is a big number in terms of odds over the long term. As you can see here, a single deck of card gives the lowest edge for the casino and gives the player better odds. Multiple decks such as eight decks increases the house edge almost 18 times more than it would for the single deck!
| Number of Decks | House Odds Advantage |
|---|---|
| Single Deck | 0.04% |
| Double Deck | 0.42% |
| Four Decks | 0.61% |
| Six Decks | 0.67% |
| Eight Decks | 0.70% |
Two Card Frequency Odds
The next odds table deals with the first two cards being dealt or the 2 card frequency odds. Every player is dealt two cards at the beginning of a round of blackjack so this chart tells you the percentage of getting different categories of hands. A natural blackjack is only 4.8%, which essentially is an ace dealt with a ten card straight off the initial deal. Normally the odds are 3 to 2 and you would win $3 for every $2 wagered. It's a small percentage but it's the most desirable hand to get. The lowest hand you can get is two points (two aces). This is part of the decision hands group where players are usually dealt soft hands and can make decisions without going bust. This group is the most common.
The other category is the hard standing hands. These hands are somewhat desirable because of the high scores likely to beat the dealer. These are the second most frequent two card blackjack hands. Finally there is a no bust two card hand. No bust means any two card hand that won't bust on the next hit, such as any soft hand or hard hand that is 11 points or less.
| Two Card Combination | Frequency Percentage |
|---|---|
| Natural 21 Blackjack | 4.8% |
| Hard Standing (17 - 20) | 30.0% |
| Decision Hands (2-16) | 38.7% |
| No Bust | 26.5% |
| Total (all two card hands) | 100% |
Probability Edge for Each Card Removed from Deck
The next table shows how much your odds improve after when certain cards have been dealt and removed from the deck. Certain cards taken out of the deck and increase or decrease your blackjack odds percentage and the house edge.
This is very important for card counting. If you want the absolute perfect odds in card counting, you have to acount for each small change in the odds whenever a card is dealt. As you can see from the table, when small cards are taken out of play, the odds increase in your favor overall. This is a paramount property of card counting. The opposite happens when large cards are dealt. Your odds begin to decrease. When you are counting cards, you will notice your count decreasing when large cards are dealt.
You can imagine how complicated it would be to be adding these numbers in your head while card counting at the same time. If your mind was a computer, it would be easier to keep track of the percentage. Some people can do this, and this is the way to become a perfect card counter! It is easier to keep track of the odds when playing with a single blackjack deck. For example, when five cards are seen on the table, they offer a 0.67% increase in your advantage. In fact, when a lot of fives are used up, your odds will be much higher than if any of the other low cards were used up, even the six point cards. Also, these effects are cumulative so you always need to keep track of the odds after every card is dealt. This data is actually quite amazing!
| Removed Card | Effect on Odds |
|---|---|
| 2 | 0.40% |
| 3 | 0.43% |
| 4 | 0.52% |
| 5 | 0.67% |
| 6 | 0.45% |
| 7 | 0.30% |
| 8 | 0.01% |
| 9 | -0.15% |
| 10 | -0.51% |
| Jack | -0.51% |
| Queen | -0.51% |
| King | -0.51% |
| Ace | -0.59% |
Dealer Final Hand Probability Odds
This next table shows the odds of what the dealer's final hand will be. Usually in blackjack, the dealer must hit on 16 and stand on 17. These rules are slightly different for other variations of twenty-one. So generally, the odds of the dealer's final score being 16 are 0% because he must hit. This table will show the probability of the dealer busting or getting a non-bust hand as well as natural blackjacks.
What Are The Odds Of Winning In Craps
| Dealer Final Hand | Probability of Getting Final Hand |
|---|---|
| Natural Blackjack | 4.82% |
| 21 (more than 2 cards) | 7.36% |
| 20 | 17.58% |
| 19 | 13.48% |
| 18 | 13.81% |
| 17 | 14.58% |
| Non-Bust (less than 21) | 71.63% |
| Bust (more than 21) | 28.37% |
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Blackjack Odds Table
Definition of the Casino House Edge for the Game of Blackjack
Blackjack Odds Chart
The casino house edge is a theoretical number. It is calculated by taking all the bets made at the blackjack tables, multiplied by what percentage the casino would keep. The calculations assume that player decisions will be statistically correct when playing blackjack.
Another theoretical number is the return percentage or pay out percentage. This is how much the blackjack player's get to keep of their own bets. Simply put, the return percentage is the percentage of the bet that would be returned to the players if every blackjack play decision were statistically correct. In other words, a 95% payout rate means 100 minus 95, or a 5% house edge. For the blackjack player, this means a loss of 5% of their blackjack bets. You keep 95% of the money you walk into the casino with, and the casino keeps 5%.
The game of blackjack offers the best odds of winning for the players, but only if you are aware of the variables that affect the odds. Best free slots. The variables are cumulative. In other words, the standard house edge plus all the rules in your favor minus all the rules against you = the real house edge for that blackjack table.
Dealer Final Hand Probability Odds
This next table shows the odds of what the dealer's final hand will be. Usually in blackjack, the dealer must hit on 16 and stand on 17. These rules are slightly different for other variations of twenty-one. So generally, the odds of the dealer's final score being 16 are 0% because he must hit. This table will show the probability of the dealer busting or getting a non-bust hand as well as natural blackjacks.
What Are The Odds Of Winning In Craps
| Dealer Final Hand | Probability of Getting Final Hand |
|---|---|
| Natural Blackjack | 4.82% |
| 21 (more than 2 cards) | 7.36% |
| 20 | 17.58% |
| 19 | 13.48% |
| 18 | 13.81% |
| 17 | 14.58% |
| Non-Bust (less than 21) | 71.63% |
| Bust (more than 21) | 28.37% |
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Blackjack Odds Table
Definition of the Casino House Edge for the Game of Blackjack
Blackjack Odds Chart
The casino house edge is a theoretical number. It is calculated by taking all the bets made at the blackjack tables, multiplied by what percentage the casino would keep. The calculations assume that player decisions will be statistically correct when playing blackjack.
Another theoretical number is the return percentage or pay out percentage. This is how much the blackjack player's get to keep of their own bets. Simply put, the return percentage is the percentage of the bet that would be returned to the players if every blackjack play decision were statistically correct. In other words, a 95% payout rate means 100 minus 95, or a 5% house edge. For the blackjack player, this means a loss of 5% of their blackjack bets. You keep 95% of the money you walk into the casino with, and the casino keeps 5%.
The game of blackjack offers the best odds of winning for the players, but only if you are aware of the variables that affect the odds. Best free slots. The variables are cumulative. In other words, the standard house edge plus all the rules in your favor minus all the rules against you = the real house edge for that blackjack table.
You also need to take into consideration a number of criteria when evaluating a casino, the most important of which is that the gaming house uses accredited software guaranteeing randomness rather than tampering with the odds, if you can't physically watch the blackjack dealer shuffle the cards.
Blackjack Strategies and Their Affect on the Casino House Edge
Blackjack players who use Basic Strategy can affect the blackjack odds to the point where they are playing almost even with the casino. It's possible to find a blackjack game with a house edge of 0.5% or less once you know what to look for and how to play your cards correctly. If you don't use a specific strategy and just play on impulse, your house edge will be in the range of 2-5% in favor of the casino. Apple mixing software. You will lose $2 - $5 of every $100 you bet. If you play Basic Strategy, the house edge is approximately 0.5%. That is one half of one percent. The casino keeps 50 cents of every $100 you bet.
The term Blackjack Conditions or House Rules refer to the specific rules in effect at a blackjack table. One casino might have several different sets of blackjack rules, depending on the blackjack table you play at. There is a wide variety of blackjack rules, and these rules absolutely affect your Odds of Winning a game of blackjack. Some casinos have more player friendly rules than others. If you study the blackjack rules that different casinos offer, often the more out of the way casinos will offer better odds to the player. For example in Las Vegas, the casinos that are most accessible to tourists are not as generous in their rules as the casinos at the edge of town where most of the locals play blackjack.
In the blackjack strategy chart below, odds with a plus are in your favor, odds with a minus favor the casino. The following odds are based on blackjack conditions using 8 decks of cards, double down allowed on the initial 2 cards dealt only, double down allowed on any total, double down after splitting allowed, and resplitting allowed up to a total of 4 hands. Possible blackjack rules include:
| Blackjack Rule | Description | Effect on Odds |
| Remember: Pluses increase YOUR odds of winning, minuses decrease them. | ||
| Double Exposure | The cards are dealt face up, including the dealer's cards. | + 8.80 % |
| Blackjack Pays 2:1 | Normally blackjack pays 3:2, which means you win $15 for a $10 bet. When blackjack pays 2:1, you win $20 for a $10 bet. Good rule. | + 2.27 % |
| Five Card Charlie | A player having 5 cards totaling 21 or less automatically beats anything except a dealer blackjack, even if the dealer has a higher total. | + 1.46 % |
| Suited Blackjack Pays 2:1 | Normally blackjack pays 3:2, which means you win $15 for a $10 bet. When blackjack pays 2:1, you win $20 for a $10 bet. Suited blackjack means of the same suit. | + .57 % |
| 21 Wins | A player's hand totaling 21 automatically wins. | + .54 % |
| ESR - Early Surrender (Dealer Upcard = Ace) | The option to give up without playing your hand before the dealer checks for blackjack. You lose half of your bet. | + .39% |
| Player Wins Blackjack Ties | When the dealer and player both have blackjack, the player wins. | + .30 % |
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| ESR - Early Surrender (Dealer Upcard = Ten) | The option to give up without playing your hand before the dealer checks for blackjack. You lose half of your bet. | + .24 % |
| Double Down on 3 or More Cards | The option to double down on any number of cards. | + .21 % |
| LSR - Late Surrender (Any Number of Cards) | The option to surrender on any number of cards after the dealer has checked for blackjack. | + .20 % |
| Hit on Split Aces Allowed, also known as Draw to Split Aces | The option to take as many hits as you want on split Aces. Usually split Aces are allowed only one card. | + .19 % |
| Blackjack After Split Allowed | Usually if a player gets a blackjack after splitting, it is payed out 1:1, rather than a normal blackjack payout. Allowing blackjacks the full payout after splitting is a rare, but good rule. | + .19 % |
| Six Card Charlie | A player having 6 cards totaling 21 or less automatically beats anything except a dealer blackjack, even if the dealer has a higher total. | + .15 % |
| DAS - Double Down after Splitting | You are allowed to double down even after splitting. | + .13 % |
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| RSA - Resplitting Aces Allowed | The option to split Aces on a hand that has already split on gotten another pair of Aces. | + .08 % |
| LSR - Late Surrender (Dealer Upcard = 10) | The option to give up without playing your hand after the dealer checks for blackjack. You lose half of your bet. | + .07 % |
| Seven Card Charlie | A player having 7 cards totaling 21 or less automatically beats anything except a dealer blackjack, even if the dealer has a higher total. | + .01 % |
| LSR - Late Surrender (Dealer Upcard = Ace) | The option to give up without playing your hand after the dealer checks for blackjack. You lose half of your bet. | + .00 % |
| Split Rescue | This is the ability to surrender after splitting. | + .00 % |
| Resplit to 2 Hands Only | Casinos may limit how many times you can keep splitting. | - .01 % |
| No Peek (Dealer Upcard = Ace) | The dealer does not check to see if they have blackjack until all players have taken their turn. This means you might double down or split, effectively betting more, and losing more. | - .01 % |
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| Double After Split Allowed EXCEPT on Aces | You can double down after splitting, except when you've split Aces. | - .08 % |
| D9 - Double Down on 9-11 only | Casinos may limit your options to double down, only allowing it on certain hand totals. | - .09 % |
| No Peek (Dealer Upcard =Ten) | The dealer does not check to see if they have blackjack until all players have taken their turn. | - .10 % |
| No Resplitting Allowed | - .10 % | |
| No Double Down after Splitting | Once you've split, you lose the option to double down. | - .14 % |
| No Splitting Aces | You can not split Aces, period. | - .18 % |
| D10 - Double Down on 10-11 only | Casinos may limit your options to double down, only allowing it on certain hand totals. | - .18 % |
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| H17 - Dealer Hits on Soft 17 | Normally the dealer stands on 17. But with this rule the dealer will hit on a Soft 17 (A-6). | - .22 % |
| No Splitting | You can not split any pairs, period. | - .58 % |
| D11 - Double Down on 11 only | Casinos may limit your options to double down, only allowing it on certain hand totals. | - .69 % |
| Blackjack Pays 6:5 | Normally blackjack pays 3:2, which means you win $15 for a $10 bet. When blackjack pays 6:5, you only win $12 for a $10 bet. Bad rule. | - 1.39 % |
| No Double Down | You can not double down. | - 1.47 % |
| Player Loses 17 Ties | Yes, this rule exists. If the player and dealer both have 17, the player loses. | - 1.87 % |
| Blackjack Pays 1:1 | Normally blackjack pays 3:2, which means you win $15 for a $10 bet. When blackjack pays 1:1, you only win $10 for a $10 bet. Bad rule. | - 2.26 % |
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| Player Loses 17-18 Ties | Yes, this rule exists. If the player and dealer both have 17 or 18, the player loses. | - 3.58 % |
| Never Bust Strategy | Never taking a hit on 12 or higher. This is NOT considered to be a good blackjack strategy. | - 3.91 % |
| No Insurance | Insurance not offered (only affects card counters, the rest of you are not buying insurance.) | - .46 % |
| Player Loses 17-19 Ties | Yes, this rule exists. If the player and dealer both have 17, 18 or 19, the player loses. | - 5.30 % |
| Mimic The Dealer Strategy | Always hit on 16 or lower, stand on 17 hard or soft, never split or double. This is NOT considered to be a good blackjack strategy. | - 5.48 % |
| Casino Surrender | This has a payout of 1/2 of your bet. If you have two cards totaling 20, and the dealer has a 10 showing, asking for Casino Surrender let's you win 1/2 your bet before the dealer plays out his hand. This happens only after the dealer checks for blackjack. So for a $10 bet, you would win $5. Your odds are better to actually play out your hand, so this rule is in the casino's favor. | - 5.48 % |
| Player Loses 17-20 Ties | Yes, this rule exists. If the player and dealer both have 17, 18, 19 or 20, the player loses. | - 8.38 % |
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| Player Loses 17-21 Ties | Yes, this rule exists. If the player and dealer both have 17, 18, 19, 20 or 21, the player loses. | - 8.86 % |
| Assume Ten in the Hole Strategy | Play as if the dealer's hole card is a ten, and hit/stand accordingly. This is NOT considered to be a good blackjack strategy. | - 10.03 % |
| Rule variations, odds not shown: | ||
| D8 - Double Down on 8-11 only | Casinos may limit your options to double down, only allowing it on certain hand totals. | |
| Double Down Rescue | The option to surrender after doubling down. | |
| Redoubling Allowed | The player may redouble his bet. | |
| Double Down on Initial 2 Cards Only | This is the standard double down rule. | |
| Double Down on 2-3 Cards Only | The option to double down even after taking one hit. Some tables allow doubling on any number of cards, or 2 cards only, or 2-3 cards. | |
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| Peek Ace | The dealer checks for blackjack if they have an Ace showing. | |
| Peek Ace or Ten | The dealer checks for blackjack if they have an Ace or a Ten showing. | |
| Insurance | Insurance is a side bet made when the dealer has an Ace showing, usually totaling half of your regular bet, where you are betting that the dealer has a blackjack. | See Insurance Table Below |
As you can see, a blackjack game that pays 2:1 on a regular blackjack will increase your odds of winning by 2.27%, while a blackjack game in which you lose any hand where you and the dealer are tied on hands totaling 17-21 decreases your odds of winning by 8.86%. In the latter, that means that of every $100 you bet, you will lose an additional $8.86 to the casino. This demonstrates how important small rule variations become on your overall odds of winning.
House Edge on Insurance
The first rule is never buy insurance even if you have a blackjack. The ONLY exception is when you are card counting. Card counters can make insurance bets when the deck is rich in tens but if you do not count cards, don't buy insurance. The house edge for insurance favors the casino, and it is cumulative. The following chart shows the house edge on the insurance bet depending on the number of decks used, and this is in addition to the standard house edge, so you would subtract this from your odds percentage.
| # of Decks | Insurance Affect on Odds |
| 1 | - 5.882 % |
| 2 | - 6.796 % |
| 4 | - 7.246 % |
| 6 | - 7.395 % |
| 8 | - 7.470 % |
Blackjack Betting Guide
Number of Decks and the House Edge
Every time a card comes out of the shoe it changes the make up of the cards remaining. The advantage can shift from player to house depending on which cards have been played and the skill in which you play your cards. The more decks, the better the odds for the casino. The following chart shows the house edge depending on the number of decks used, and this is in addition to the standard house edge, so you would subtract this from your odds percentage.
| # of Decks | Number of Decks Affect on Odds |
| 1 | - 0.20 % |
| 2 | - 0.35 % |
| 4 | - 0.51 % |
| 6 | - 0.60 % |
| 8 | - 0.63 % |
The House Edge Using Continuous Shuffle Machines Big win free slots.
A Continuous Shuffle Machine is like playing with a fresh shoe with every hand. This is actually to the player's advantage unless you are counting cards. The house makes up for the lost advantage by the fact that the dealer can deal about 20% more hands per hour. This means that the house's advantage is increased by sheer volume of hands dealt. For the player, this means that your losses will be greater. If the house edge is 95%, you are losing $5 for every $100 you bet. If you are playing 20% more hands per hour, your losses will increase accordingly.
| # of Decks | Continuous Shuffling Machine Affect on Odds |
| 1 | + 1.13 % |
| 2 | + 0.63 % |
| 4 | + 0.34 % |
| 6 | + 0.20 % |
| 8 | + 0.14 % |
Other Factors That Affect Your Odds of Winning
The dealer will break 28.23% of the time (based on computer simulations of millions of rounds of play. Remember that you are unlikely to see millions of rounds of play.)
A Harvard Mathematician concluded that it takes 7 shuffles to randomize a single deck of cards. Multiply that by 8 decks and you can be sure that 8 decks will not be shuffled until they are totally randomized. This changes the dealer break ratio, bringing it to a much lower percentage than computer simulations calculate.
The difference between seat 6 and 7 is about .05% (seven being better for those counting cards). You will lose about .05% per seat as you move toward seat 1. The difference between seat 1 and 2 however, is .16%.
Counting cards will increase your odds of winning. However, casinos routinely ban card counters, even though it is not illegal.
