The Blackjack house edge calculator will help you see your and the casino odds in the specific game you are playing. Select the Rules of the game; 2. Press 'Calculate' button; In the first table you can see your odds according to dealer up card. Blackjack odds calculator. See -help for an overview of options. When printing strategy tables, the columns are the dealer's first card and go 2-9,J,A. Rows are your cards; 1 represents ace and 0 represents 10,J,Q,K (sometimes collectively referred to as Js in the rest of these docs/code). House Edge Calculator 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.
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Blackjack Calculator Instructions Our Blackjack Calculator simply asks you to select the Dealer's up card, and then the Player's cards, at which point it will immediately tell you the optimum play to make. If you kept betting that way for 10,000 hours of blackjack that means you placed $100 million worth of individual bets, added together. The house edge is half of one percent so if we take $100 million and multiply it by.005 we get $500,000 which is how much the casino expects to make off of you in the long run if you continue to bet $100 a hand.
But peer review is healthy, and the Wizard has asked for comments. I will make some comments realizing that there is some chance that the Wizard is correct and I am wrong (because Dadgum it, the Wizard is almost always correct).
1. The first issue with the calculator is simple - it cannot be used to help with online BJ in the way that he claims for certain kinds of hands. If you have a hand where the first two cards are a small pair, and the right strategy is to split the cards -then you can no longer simulate your BJ hand after you have split the pair. The calculator always assumes that whatever player's cards are defined beyond the first two cards are to be used in hitting the UNSPLIT first two cards.
So, if the game is 1Deck BJ and the players hand is 3-3 vs a dealer's 3, the calculator tells us to split the pair of 3s. So far, so good. But what happens after I do that and the next card is the case 3? Is it best to continue to split the 3s? Or is is better to hit the 3-3 as a 6? The calculator cannot help us with this because it does not allow us to simulate that situation.
2. Playing a small hand like an A-2, or a small pair like a 2-2 or a 3-3, has a complexity to it beyond the initial decision. You must decide what to do if and when you make a soft 17 or a soft 18 during the course of playing your hand. And the numbers calculated for splitting and hitting hands like A-2 and 2-2 should (in my opinion) be calculated based on making the right decisions in scenarios where the play of the hands includes decisions on soft 18 and soft 17.
Let me give an example to show what I am talking about. Use the Wizard's calculator to calculate these 4 hands, all ONE DECK, DEALER HITS SOFT 17 and all versus a dealer's 10: A-7 vs 10, A-5-2 vs 10, A-3-3-A vs 10 and A-2-2-2-A vs 10.
You will see see, using the Wiz's own calc, that the Basic strategy of HITTING a soft 18 against a 10 is optimal for the first two hands but that STANDING on soft 18 is optimal for the last two hands. The problem, as I perceive it is that the the calculator correctly calculates A-2-2-2-A vs 10, but when calculating 'A-2 vs 10' it assumes that any emergent soft 18 will be HIT, when calculating the EV for the HIT scenario.
The result is that the value for the return on hitting hands like A-2 vs 10 appear to be lower than 'Perfect Play' EV by roughly 0.004, because of non-optimal composition-dependent Soft 18 decisions (also non-optimal 16 vs 10 decisions, see footnote below.) Is this a big deal? No, in my judgment. It has no effect on the strategy decision regarding how to play this hand, and it is a relatively small 'error.' But the calculated EV's or 'returns' are given to six digits of accuracy! And if you undertake to publish a calculator on the web I suggest that it should either (1) calculate the correct numbers, or (2) the website should explicitly state the limitations of the calculator even when the limitations only compromise a small number of combinations of hands and game rules (like single deck). Currently, I question whether this website calculator meets either of those criteria.
Consider for a moment what the calculator does when calculating the return on splitting 2's against a 10 (Single Deck, etc. as before). Imagine that whilst HITTING the split pair of twos, all four 2s and all four 3's have come out and the 2nd hand is 2-3-2-A. Would any decent BJ player HIT the soft 18 in the second hand given that there is zero chance of getting a 2 or a 3 and making a 20 or 21 with the next card? No, they would not. And there would be a very substantial -EV for making that decision. Yet the Wiz's calculator appears to fold that large negative EV decision into its calculation of SPLIT 2's vs a 10. That just bothers me, because I feel that the calculated EV's are compromised by this methodology choice.
So that's it. The calculator does not simulate multi-card hands when a pair has been split. And certain calculations of EV for HITTING and Splitting are suspected to be unreliable by a small amount, particularly for single deck hands in which the first two cards are small and the dealer's up-card is a 10, A, 9, 8 or 7.
Footnote: Another type of non-optimal composition-dependent decision that is compromising your calculation of 6-digit EVs is the 16 vs 10 decision (and similar decisions such as 15 vs 10, 16 vs 9 and Ace, etc.) When starting out with split 2s or A-2 and hitting those -by the time you have a hard 16 or 15, you are quite likely to have a used a disproportionate number of cards in the range A-5 and your use of a Basic Strategy decision such as hitting a hard 16 vs 10 is going to involve a substantially negative EV -which causes your 6 digit EV to be wrong (or misleading) in the 3rd digit , or perhaps even in the second digit. I know its difficult to do these calculations right (because I've struggled with this myself in developing my own personal calculators) but I wanted to raise this topic with you.
Blackjack Strategy Calculator
http://i58.tinypic.com/amqiyv.jpg
a good blackjack hand analyzer.
Something that would give the exact expected values
but really
how good and exact is it
in your opinion and compared to other programs similar?
(i mean after the bugs are worked out)
example:
6deck
H17
Dealer : K
Player: 10,9
STAND: +0.069444
Hit: -0.726389
Poker Hand Calculator Statistics Chart
Double: -1.452778
Blackjack Combinatorial Analyzer v1.60
STAND: -0.01361963456
Hit: -0.7476404232
Double: -1.4176109
ok
well
just checking
math
lots of it
i no no
Sally
Administrator
example:
6deck
H17
Dealer : K
Player: 10,9
STAND: +0.069444
Hit: -0.726389
Double: -1.452778
Blackjack Combinatorial Analyzer v1.60
STAND: -0.01361963456
Hit: -0.7476404232
Double: -1.4176109
I stand by my calculator's results for that hand.
well, of course i knew you wouldBlackjack Combinatorial Analyzer v1.60 that i showed
i think by looking at the double value could not be correct
i mean lose -1 unit after a double?
a good blackjack hand analyzer.
Something that would give the exact expected values
but really
how good and exact is it
in your opinion and compared to other programs similar?
(i mean after the bugs are worked out)
example:
6deck
H17
Dealer : K
Player: 10,9
STAND: +0.069444
Hit: -0.726389
Poker Hand Calculator Statistics Chart
Double: -1.452778
Blackjack Combinatorial Analyzer v1.60
STAND: -0.01361963456
Hit: -0.7476404232
Double: -1.4176109
ok
well
just checking
math
lots of it
i no no
Sally
Administrator
example:
6deck
H17
Dealer : K
Player: 10,9
STAND: +0.069444
Hit: -0.726389
Double: -1.452778
Blackjack Combinatorial Analyzer v1.60
STAND: -0.01361963456
Hit: -0.7476404232
Double: -1.4176109
I stand by my calculator's results for that hand. They match the figures calculated by Wizard here as well as another online blackjack calculator here.
I stand by my calculator's results for that hand.
well, of course i knew you wouldBlackjack Combinatorial Analyzer v1.60 that i showed
i think by looking at the double value could not be correct
i mean lose -1 unit after a double?
but their online page looks like it matches your value(s) - for that hand - and others like 8,8
so that should make you both happier
http://www.bjstrat.net/cgi-bin/cdca.cgi
but as the Wizard says
'Something that would give the exact expected values'
how about close enough
thank you
Sally
1. I have checked the calculator for over 40 single-deck hands in which the player has a non-paired hand in the range of hard 8 to 20. For those hands I checked, I found no issues with the calculated values of EV for any of the player options. (I didn't check any European No-peek cases - I don't normally calculate those.) Way to go JB! Error-free calcs are not trivially easy to achieve.
2. The first time I used this calculator, I was confused when I set it to single-deck mode and I was evaluating hands such as Dealer: 2s, Player: 2s-2s where 's' signifies 'spades'. Of course, I understand that the suits are immaterial to the calculation, I am just saying it feels odd to see multiple identical cards when analyzing a single deck hand. I realize it would be needlessly cumbersome to give the user the option of picking cards of the same rank but different suits -I am not advocating that at all. Here are some possible workarounds:
- don't show suits at all, just show ranks
- at least make the dealer's cards of a different suit, such as Hearts - that would improve the situation a little bit, and it might also provide a more aesthetically-pleasing screen.
3. I tried to break the calculator in a couple of different ways and it performed well. My only comment based on this exercise was that the calculator allows me to define a single-deck player hand composed of 5 or more cards of the same rank without telling me that I've exceeded any limit. When I press the CALCULATE button for such a hand, an error message (ERR) appears, but the reason for the error is not stated. That's okay, I guess, but I prefer the way that your calculator handles the situation when a player's hand is defined to be K-Q-T.
Poker Hand Calculator Omaha
- similarly, I am permitted to define a player's hand of 9 Aces for a 2 deck case and then calculate on it. I get the ERR message.-LOL, I did learn that one should stand on a 16 vs. a dealer 7 in a four deck game when the 16 is made up of 16 Aces. What fun!
4. When I define a player hand of K-J, the calculator provides me a calculated EV for splitting the hand. Of course, the rules of BJ do not permit a player to split such a hand.
Administrator
When I have the ENHC option selected it still shows splits (but not doubles) against a 10 or A being correct (which would be right under American rules) that shouldn't.
My apologies. The calculator doesn't actually compute splitting values; it uses a lookup table with Wizard's figures. ENHC figures aren't included in the lookup table and I completely overlooked that, so I have disabled ENHC for now.
the calculator allows me to define a single-deck player hand composed of 5 or more cards of the same rank without telling me that I've exceeded any limit. ... similarly, I am permitted to define a player's hand of 9 Aces for a 2 deck case and then calculate on it. I get the ERR message.
I chose to let it error on the back-end intentionally. For example, suppose you select 8 decks, enter 10 aces, and then change it to 1 deck. It's simpler to let the back-end catch this.
4. When I define a player hand of K-J, the calculator provides me a calculated EV for splitting the hand. Of course, the rules of BJ do not permit a player to split such a hand.
Most casinos do allow splitting of 'unlike' 10-value cards (of course it's never right under BS to split tens whether or not they 'match').
- Page 2 of 4
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.
Before we take a look at player and dealer blackjack odds, we should consider all the parameters that affect the odds in the game.
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
