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. Therefore, in order to win you have to know what your probabilities are now and how and when to increase them.
- Blackjack Odds Against The House
- What Are The Odds Of Getting Blackjack
- What Are The Odds Of Winning 3 Blackjack Hands In A Row
Before we take a look at player and dealer blackjack odds, we should consider all the parameters that affect the odds in the game.
As a player you can expect to hit a Blackjack once every 21 hands on average. When the dealer is showing an Ace upcard, there is a 31% chance that the dealer has Blackjack. You can expect to win at least 48% of the hands you play. But this number goes up when you use Blackjack Strategy to. What are the Chances of a 20 Hand Winning in Blackjack? By John Grochowski on Wednesday November 2, 2016. Betting, betting-blackjack, betting-strategy, blackjack, casino, casino-games, casinos, winning, winning-percentage. With the exception of blackjacks, all player hands lose sometimes, and even blackjacks push if the dealer also has a two.
The easiest way for you to calculate the odds in blackjack is by using our free House Edge Calculator. This tool will help you to count player odds and the probabilities of dealer going bust on various dealer's up cards.
Blackjack Rules Variations
Blackjack variations were created to entertain players and provide them with a chance to win more money on side bets. Each rule variation affects the house edge, some rules making a big, others making a minor difference. Most common rule variations can be found at our House Edge Calculator in the «Rules» window. Now, let's take a closer look at the rules and see how they affect the odds in the game.
NOTE: The rules chosen in the table below are most favorable for the player.
Number of decks
The first thing a player should consider when choosing a table is the number of decks used in the game. The more decks there are - the less odds the player has. (See the table - Probabilities – Number of decks)
Dealer hits or stands on soft 17
The main rules of the game are usually written on the table felt and it may say either dealer hits or stands on soft 17. If according to the rules dealer hits soft 17, the game gives the house a 0.2% extra edge.
Rules for doubling
This rule is sometimes called the 'Reno' rule, which restricts doubling only to certain hand totals. Double 9 - 11 affects the house edge increasing it by 0.09% (8 decks game) and 0.15% (1 deck game). Double 10-11 increases the house edge by 0.17% (8 decks game) and 0.26% (1 deck game).
Doubling after Split
If the casino allows a player to double after he splits a pair, the player will get a further edge of around 0.12%.
Resplitting
Most casinos allow players to split again after he/she splits a pair and is dealt another card of the same rank. However, if the casino does not, this means the odds favor the house. As the best hands for splitting are a pair of Aces and 8s, there may be a special rule for Splitting Aces. If the casino allows the player to re-split Aces, the player gets a 0.03% extra edge. Moreover, in most cases if the player splits Aces, the casino will deal only one card per hand and that's it. Allowing players to hit on a hand of Split Aces gives the player an edge of 0.13%. We do not consider this rule in our calculator due to the fact it is almost never used, especially online.
Good for player- 1 deck of cards (house edge 0.17%)
- Doubling allowed on any cards
- Doubling allowed after Split and after Hit (player edge 0.12%)
- Early surrender is preferable
- Dealer stands on soft 17 (player edge 0.2%)
- Resplitting any cards allowed (player edge 0.03%)
Extra Rules Affecting Blackjack Odds
European No-Hole-Card Rule
Some blackjack variations are played with a hole card that is dealt to the dealer only after all the players have played their hands. This rule affects player strategy when playing against dealer up 10 or an Ace. In a typical hole-card game the player would know whether the dealer has a Blackjack or not before he makes any decisions. In this game, however, the player is risking a lot more if he decides to double or split. This rule adds 0.11% to the house advantage. However, there may be some casinos that allow the player to push on all the additional bets (doubling down and splitting pairs) if the dealer happens to have Blackjack.
Another Payouts on Blackjack
The classic payout on player Blackjack is 3 to 2. However, some casinos change the payout to increase the house edge. The payout on blackjack thus may vary from 1:1 to 6:5. As a Blackjack hand frequency is approximately 4.8% (see the table Two Card Hand Frequency), the payout of 1:1 will increase house edge by 2.3% and the payout of 6:5 - by 1.4%. The first rule (1:1) is only rarely found , while the second (6:5) can be found at some tables with a single deck blackjack game. The payout on Blackjack is generally written on a table felt.
Best tip
for odds seekers
The easiest way to choose the game with the highest odds is to play blackjack with no extra special rules. Do not forget where your basic odds are hidden - chance to Split, Double Down and get a 3 to 2 payout on Natural.
Dealer wins Ties
Another disadvantage for the player is when the rules of the game say that dealer wins all ties. This rule is almost never used in the classic games, though it can be found in some blackjack variations.
Insurance
The Insurance bet is a casino trick that gives the house a huge edge. The main factor why many players take this bet lies in the fact it costs only half of the original one. However, when the player takes Insurance every time he plays the game, the house edge may raise up to 7%. Added to all the other rules the casino sets on the game and you will see why probabilities are worth learning if you want to quit winners.
Side Bets
All blackjack games that offer side bets seem to be the biggest attraction for blackjack lovers. However, if you consider blackjack odds on these bets, you will notice that no matter how big the jackpot is (as in progressive blackjack rules) or how great the payout is for the pair (as in perfect pairs rules), the odds still favor the house and you are not likely to win.
Blackjack Probabilities charts
Number of decks | House Advantage % |
Single | 0.17 |
2 | 0.46 |
4 | 0.60 |
6 | 0.64 |
8 | 0.66 |
The quantity of decks increases the house advantage with each extra deck added to the game. Look for games with the smallest number of decks. However, some games offering a chance to play with 1 deck may only still provide low player odds due to low payouts on Blackjack and other rules. Be sure to check them before you play.
Hand value | % frequency |
21 | 4.8 |
17-20 | 30 |
1-16 | 38.7 |
No Bust | 26.5 |
The table on the left describes how often the following hands can appear. The hands are the first two-cards dealt to the player. The frequency stands for the average number of times dealt per deck of cards. As you can see, the most frequent hands dealt are the 'Decision hands' that demand knowledge of blackjack strategy.
Hand value | % of busting |
21 | 100 |
20 | 92 |
19 | 85 |
18 | 77 |
17 | 69 |
16 | 62 |
15 | 58 |
14 | 56 |
13 | 39 |
12 | 31 |
11 or less | 0 |
In this table you can see the probability of going bust on any hand if the player decides to Hit. This means that with 0% you can never go bust when hitting a hand of 11 or less. As you can see, the table is for hard hand totals as you will 100% bust if you Hit on a hand of hard 21.
Card | House edge % (when cards removed) |
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,J,Q,K | -0.51 |
Ace | -0.59 |
You probably already know that in blackjack small cards in the deck favor the dealer while big ones favor the player. In this table you can see that removing 2s from the deck adds a 0.40% of advantage to the player, while if 10's are taken out - the odds are 0.51% for the house.
Dealer Face Up Card | Dealer Bust % | Player Odds % (Using Basic Strategy) |
2 | 35.3 | 9.8 |
3 | 37.56 | 13.4 |
4 | 40.28 | 18 |
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,J,Q,K | 21.43 | -16.9 |
Ace | 11.65 | -16 |
Blackjack probabilities are calculated due to different parameters, including the dealer up card. The table on the left depicts how likely it is that dealer will go bust with certain up cards and what the player odds are in this very situation. For example, the highest player odds are when the dealer shows a 6, as he is most likely to go bust with this hand. The lowest player odds are when the dealer's up card is a 10 or an Ace.
You can count the players and casino odds any time you play with the help of our House Edge Calculator. The tool helps to find the probabilities for any game rules and the results can be calculated for all parameters.
TOP 3 US blackjack casinos
Odds are everywhere you look. Seriously. Odds are in a casino, your workplace, your day-to-day live and habits, your marriage and where in the world you live.
Don’t believe me? Take a look for yourself:
- Odds of having twins (21st century) – 3 in 100 or 3%
- Odds of getting a divorce – 40 to 50%
- Odds of being stuck by lightning – 1 in 5,000 or 1 in 700,000 in any given year
- Odds of being audited by the IRS – .4% if you make less than $200,000 / year
- Odds of being dealt a blackjack – About 4.83%
Odds are just the likelihood that something will happen. As a blackjack player you deal with this all the time.
Lets look at a couple real examples to show you what I mean.
Here are the odds of you busting your hand, depending on what you were dealt:
- 21 – 100%
- 20 – 92%
- 19 – 85%
- 18 – 77%
- 17 – 69%
- 16 – 62%
- 15 – 58%
- 14 – 56%
- 13 – 39%
- 12 – 31%
- <11 – 0%
Odds of Being Dealt Specific Hands
Here are the probabilities for being dealt a specific hand:
- Blackjack – 4.8%
- Standing Hand (17-20) – 30%
- Decision Hand – (1-16) – 38.7%
- No Bust – 26.5%
Here are the odds for the final hands that the dealer will make:
- Natural 21 – 4.82%
- 21 (3+ cards) – 7.36%
- 20 – 17.58%
- 19 – 13.48%
- 18 – 13.81%
- 17 – 14.58%
- 16 – 28.36%
Dealer vs. Player Odds
Finally, here are the odds of the dealer busting based on their up card:
- 2 – 35.30%
- 3 – 37.56%
- 4 – 40.28%
- 5 – 42.89%
- 6 – 42.08%
- 7 – 25.99%
- 8 – 23.86%
- 9 – 23.34%
- J,Q,K – 21.43%
- A – 11.65%
Blackjack Odds Against The House
Of these examples, this is the most useful. Notice what hands the dealer is most likely to bust with. The dealer will most often bust with 4, 5 or 6, followed by 2 and 3.
The odds above are static. There’s nothing you can do to change them. However, you can find ways to improve your odds so that you lose fewer hands and less money. And the less money you lose, the more you can keep to play more blackjack.
Here’s what you can do to improve your odds in blackjack:
- Use basic blackjack strategy. Without basic strategy you’re playing at an 8% disadvantage. With strategy, however, the odds increase significantly. You’ll be playing at only .5 to 1.5% disadvantage.
- Find the best games. The rules make all the difference. For example, if you play a 6:5 blackjack game you’re adding a 1.39% disadvantage. If the dealer hits soft 17 that’s another .18%. However, it’s possible to find games where the player is paid 3:2 for blackjacks and the dealer stands on soft 17. So find those games. Also be careful about which blackjack variation you play. The best games to play are blackjack, Spanish 21, Vegas Strip BJ and Blackjack Switch.
- Avoid side bets. Side bets look exciting, because for a nominal amount you could possibly win a huge jackpot — worth hundreds or even thousands of dollars. The problem is that the odds against winning can be anywhere from 2-40%.
- Avoid wives tales. There are a lot of bad strategies like never busting (never hit a 12+), mimicking the dealer and assume that the dealer has a 10 in the whole (with ace up). The problem with using any of these strategies is that they increase the house edge from 3 to 10 percent.
What Are The Odds Of Getting Blackjack
You can do other things, too, like count cards or read books (usually a mix of basic strategy, card counting and general how-to’s for casino blackjack). However, you’ll improve your odds at winning at blackjack just by following my suggestions above.
Understanding the Long Run – Sample Size and Variance
I wanted to finish up this article with a brief explanation of odds, and how they work over the long run. You see, I think a lot of people will see the numbers above and get confused when they don’t match their own stats. In other words, someone might go to the casino play 500 hands of blackjack, and wonder why they didn’t get 24 natural blackjacks, or the other way around, why they got 42.
The thing is, odds and statistics are all about the long run. Long run usually meaning sample size, or the total number of hands (or games) played.
What that means is that over a significant sample size, hundreds of thousands or even millions of hands, the number of times you’ll receive a blackjack is about 4.82%. The more hands you play the truer this will become.
The reason why odds don’t match up in smaller sessions, say over 500 hands, is because of variance. There’s a technical term and definition for variance, but I’ll just give you my version; variance is the ups and downs you experience on your way to the long term (expected) results.
Mike Caro, a poker player and author, puts it this way:
A measure of the spread of statistical distribution about its mean or centre.
That means in a short time frame, it’s possible to experience more drastic odds. You might win or lose more than you’re supposed to. It also explains why people can go into a casino, not use basic strategy and win 3x as much as what they walked in with. The cards ran in their favor — they experienced a positive streak of variance.
What Are The Odds Of Winning 3 Blackjack Hands In A Row
So that’s the gist of it. So the next time you walk into the casino and have a wild swing one way or another, you know that that’s not normal, and that in the long run you’ll be closer to break-even so long as you stick to basic strategy — the plan with the best odds.