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Quickly analyse any blackjack hand and increase your odds of winning.

How to use the online blackjack strategy calculator?

Firstly set the rules of your Blackjack game: You can find whether Surrender's are allowed or whether Dealer stands or hits on Soft 17 in the help section of whatever Blackjack game you're on.

If you can't find the rules then assume Surrenders are NOT allowed and the Dealer will STAND on Soft 17 this will almost always be the case.

Next set the card that the Dealer has, this will be the card at the top of the screen on the game you're playing.

Click the + under 'Dealer' and then choose the card they have.

Now input your blackjack calculation />Similarly to above, click the + under 'Card 1' to choose your first card, and then the + under 'Card 2' to choose your second card.

After you've selected all the cards, you will be given the action you should take next that is the best strategy the one that will minimise the house edge in the long run.

What do the different moves mean?

Hit - If the move is listed as hit, then firstly make that decision on your Blackjack game.

After you have your next card, input the card you've been dealt into the calculator.

Stand - Stand on your Casino blackjack euro game and you're done with the hand.

Split - Select split on the Blackjack game you're playing, then click Deal Again on our Strategy Calculator.

You can then start again with your two new hands you have after splitting.

Double - Select Double click your Blackjack game, you'll then be dealt one card and one card only.

You're then done with the hand.

Sometimes you're given multiple options for your next move, this is because various rules can be different on different blackjack games.

Always select the first move in this example below this is double if you're allowed to, if not then choose the second option.

Bust - If you get over 21 the calculator will tell you that you're bust and the hand is over.

Insurance - Whenever the dealer has an Ace A you may be offered insurance.

Always say NO to this.

Why use the online blackjack strategy calculator?

If you want to beat an online blackjack dealer, it's very important to know what their advantage is and what the odds are.

The house usually has a slight edge over the player in Blackjack but not by much!

Our strategy calculator will help with this.

We have used mathematical probabilities to suggest the best possible option for the cards you have been dealt.

Our online blackjack strategy calculator will calculate the best possible option for winning, by telling you what your next move should be.

It will also help you to learn how to play online blackjack smartly by eliminating any potential errors.

Try our online blackjack strategy calculator now and get the best option for your next move.

Best of all, it's completely free blackjack calculation use.

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By continuing to use this site, you are agreeing to the use of cookies.

It is also important to know your odds in a game of online blackjack.

The odds of winning at Blackjack are slightly more in favour of the house, but not by much to make a difference.

Take the time to understand the game well by learning the best possible hands, playing more games and using the blackjack calculator.

Along with this calculator and read more tight strategy, you can ensure coming out on top and to prevent the house edge denting your bankroll.

Your best bet at winning is to not make any mistakes with the hand you have been given.

It then proceeds to calculate blackjack calculation best possible blackjack calculation for snatching blackjack calculation win by informing you on your next best move: Whether to Hit, Stand, Double or Split.

We cannot guarantee you will always strike gold and winning when using this calculator, but it will definitely give you the best possible chance depending on the cards see more hand.

It will also help you to learn how to play online blackjack smartly by eliminating errors as much as possible from your blackjack calculation />Try the online blackjack strategy calculator now, to find out the best option for your next move based on mathematical probabilities and odds.

It is free to use.

Share it with your friends!

Want to learn more strategies and tips for online blackjack?

Check out more guides to learn the ropes.

When you are ready to play with blackjack calculation money, check out our trusted online casinos to snatch an exclusive casino bonus offer.

If you are just starting out, a little help would save your bankroll and perhaps increase it too.

We didn't want to create a complicated blackjack calculator that would have you scratch your head in confusion.

If anything, we wanted to make it as easy as possible, so you only need to input your cards and the dealer's upcard, and you're good to go.

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My name is Dan Howard.

I am one of the co-writers at this website and a person with a vast experience in playing roulette online and offline.

I have helped review many of the web-based casinos and roulette variations you can read about at SuperCasinoSites, with a focus on providing you with accurate information that can help you in finding the best casino websites.

Blackjack is a slightly deceptive game.

Its simple rules of play may fool you into believing it is easy to master but if you delve deeper, you will quickly find this is a purely mathematical game that is all about odds and probabilities.

Blackjack Hall of Fame inductees Edward Thorp and Julian Braun were among the first people to come to this realization in the 1960s.

They ran millions of simulations on old IBM computers to refine the basic blackjack strategy Ed Thorp published in his Beat come blackjack and tilt side bar consider Dealer book, which is now a classic in the blackjack canon.

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The following article aims at introducing you to the foundations of blackjack odds and blackjack calculation />Toward the end, we have also included several charts that may prove to be useful.

While inherent in gambling, blackjack calculation is, first and foremost, a separate branch of mathematics that deals with the likelihood of different events occurring.

Probability permeates all aspects of our lives, from weather reports to statistics and playing at your local casino.

Probability is calculated on the basis of known data but cannot be used to predict exact outcomes, like the outcome of a hand in the game of blackjack, for example.

It simply shows you the likelihood of an event happening, based on the knowledge of the number of desired outcomes and the number of all possible outcomes.

You can use this knowledge to execute the but it alone does not show you with absolute certainty which card the dealer will pull out next.

The further to the left an event is positioned on the probability line, the more unlikely it is to take place.

The probability of a given outcome happening is quite simple to calculate.

All you have to do is divide the number of desired outcomes by the number of all possible outcomes.

In the context of gambling, this translates into dividing the number of ways to win by the number of all possible outcomes.

Dependent Trials Before we proceed with concrete examples, we would like to blackjack calculation a distinction between independent and dependent events or trials in statistics.

Such is the case with the dice tosses in the game of craps and roulette spins, where previous outcomes have no influence on the results of the trials that are blackjack calculation follow.

Here is an example of determining the probability of rolling a 2 with a six-sided dice.

There is only one possible way for you to roll a 2 out of 6 possible outcomes.

The probability of rolling a deuce with two dices is even slimmer because there are more permutations 36 to be precise but there is only one two-dice combination that results in a 2.

No matter how many times you toss the dice, the probabilities of the tosses, or trials, will always remain the same.

With dependent events, on the other hand, previous trials influence the probabilities of the trials that are to follow.

Unlike roulette and dice games, is a game of dependent trials where each card dealt changes the composition of the remaining deck and therefore, influences the likelihood of forming specific hands on the next rounds of play.

Single-deck blackjack utilizes a full deck of 52 cards without any jokers where we have 13 card denominations of 4 different suits each, which is to say there are only 4 Aces out of 52 cards.

Dependent Trials Additional TipsProvided that the Ace you have already drawn is discarded instead of being reintroduced back into the pack, the probability of pulling an Ace on the next trial will be slimmer.

We have three Aces left and the number of cards in the deck has now dropped to 51.

The more cards of a given denomination have left the deck, the slimmer the likelihood of drawing a card of said denomination on your next try.

The only unknown factor in the game of blackjack is which agree, blackjack apprenticeship bootcamp speaking we will pull out next.

We can determine the probability of drawing a specific card but cannot say with absolute certainty which card will leave the pack on the next draw.

The only random factor blackjack calculation impacts the draws is the reshuffle.

If we place the Ace back into the deck and reshuffle after each trial, the probability of pulling it will remain the same as now you will be dealing with independent trials.

Another Example � Hard 16 vs.

We assume you start a fresh round in a no-hole-card game after the has been reshuffled.

You are dealt Q-6 against a dealer K but surrender is unavailable, in which case you are forced to.

What is the likelihood of improving your total on the next hit?

We are left with 49 cards since 3 cards have been removed from the deck already.

The following cards can help you improve your 16: an Ace for a total of 17 your Ace will be counted as 1 in this case since otherwise it will bust your handa deuce for a total of 18, a 3 for a total of 19, a 4 for a total of 20, and a 5 for the best possible outcome of 21.

Thus, you have 20 cards that can help you out of 49.

The Probability of Obtaining a Blackjack Naturals are the strongest hands you can obtain in the game of 21.

Not only it is impossible to lose with a natural in the worst-case scenario you will push with the dealer but you get a little extra in terms of profits since blackjacks return 1.

Because of this, it is important for you to gain a proper understanding of the probabilities of getting blackjacks.

Knowing the number of decks in play, you can easily determine the likelihood of receiving a blackjack calculation after the reshuffle.

For the purpose, you must multiply the probability of pulling an Ace by the probability of pulling ten-valued cards like 10, Trucos blackjack online, Q, and K there are four of each in a single pack for a total of 16.

It is also necessary to multiply the result by 2 because there are two possible permutations of cards in a hand of blackjack, for example A-Q and Q-A, K-A and A-K, and so on.

The number of cards has dropped to 51 in the second case to account for the Ace that has been removed from the deck.

The likelihood of getting naturals decreases as more decks are introduced into the game, which, inturn, slightly increases the advantage the casino has over you.

This often sounds antithetical to inexperienced players who reason visit web page should be the other way around because there are more Aces and ten-value cards when multiple decks are used.

The probability formula we use is the same, however, no matter how many decks are in play.

Below are the probabilities of drawing a blackjack at the start of a fresh shoe with two, four and six decks.

You will notice the difference becomes less pronounced the more decks are introduced into play.

The difference in blackjack calculation probabilities between six and eight decks is so minuscule, useful blackjack brisket opinion did not bother including the calculations here.

In the context of gambling, this corresponds to the ratio between winning and losing outcomes.

Unlike probability, the odds are normally expressed as fractions blackjack calculation of as percentages.

Here are a couple of examples so you can get a firmer grasp on how odds work.

There is only one number that wins, so it follows there are 36 ways for you to lose.

This corresponds to implied probability of 2.

What are the odds of you pulling the Queen of Spades from the 52-card pack?

In the one with the Queen of Spades, the implied probability of 7.

The above calculations show us the actual, true odds of hitting a 9 and of drawing the Queen of Spades from a full 52-card deck on the first trial.

In games like roulette and craps, this is achieved solely through payout reduction.

The true odds of hitting an individual number on a single-zero wheel are roughly 36 to 1 whereas the casino pays you only 35 to 1.

In blackjack, the house extracts its edge in a variety of ways including payout reduction for naturals 6 to 5 instead of 3 to 2unfavorable rules, and increasing the number of decks in play.

This is so because small cards 2 through 6 favor the dealer, whereas high cards 10, J, Q, K, and A favor the player.

Cards 7 through 9 are neutral because they favor neither the player nor the dealer.

The when they start their hand with small cards like 4, 5, and 6.

In fact, this is the basic premise of card counting which we discuss further on in this guide.

When the composition of the deck or shoe is such that ten-value cards and Aces outnumber small card, the player holds an advantage over the dealer.

It is the other way around when there are more small cards left to be played.

We ourselves are not casino operators, do not offer any real-money games on our website, and cannot be held liable for the financial risks readers take when participating in real-money gambling activities.

Visitors of SuperCasinoSites should keep in mind gambling can be highly addictive and as such, should always be approached responsibly and with due measure.

If you or someone you know struggles with gambling addiction, we recommend you contact the free gambling helplines like those operated by organizations like.

Before you register and play at any of the casinos we review and recommend, do check the legal and regulatory frameworks pertaining to real-money online gambling in your country to ensure you are not acting in violation with its laws.

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Many of the correct decisions tend to fall into regular patterns, but others seem to have no rhyme or reason.

Fortunately, you can use a "simplified" strategy that sacrifices some less-important playing decisions to get easier-to-remember patterns.

Here are Super-Easy, Simple, and Great simplified strategies that are easier to learn, but almost as good, as the perfect basic strategy.

The following table can help you decide which strategy to learn.

If you're not sure, start with the Super-Easy strategy first, and after you master it, advance down the list.

Please note that you can easily win or lose much more than the "typical" amount in one session or multiple sessions.

Risk only what you can afford.

The following table compares the simplified strategies with the perfect basic strategy.

The amount is shown as a sum of two figures: the built-in loss using the perfect basic strategy plus the additional loss due to incorrect decisions in the simplified strategy.

Please note that this is a long-term average, not the likely result of session!

Risk only what you can afford.

This is expressed as a percentage of your original bets, not counting additional money wagered on split hands and double-downs.

The figures in the table are based on typical Las Vegas playing rules: blackjack codepen decks, dealer hits soft 17, doubling allowed on any two cards, no surrender, and blackjack pays 3:2.

The varies with the playing rules in effect.

Warning: Beware of 6:5 Blackjack Payoff Games!

Many casinos offer games that pay only 6:5 instead of 3:2 on blackjack.

Even the best 6:5 games are worse than the worst 3:2 games.

If you see a sign on the table that says "Blackjack Pays 6:5," keep walking and find another table.

Oddly enough, you can almost always find a 3:2 game nearby.

If all customers refuse to play 6:5 games, casinos will quickly go back to offering only full-payout games.

Super-Easy Basic Strategy The basic strategy is for anyone who would like to try playing blackjack for fun, for a few hours or a weekend at low stakes, without spending a lot of time studying and memorizing.

It's also a good strategy that serious players can give to their non-serious companions to use.

Using this strategy, the effective is typically about 1%, so if you're playing 100 hands per session, you can expect to lose about one hand per session in the long run.

Even though the strategy is highly simplified, the house edge is still better than almost all other bets in the casino, including the Player bet at baccarat 1.

Average blackjack players make a lot more incorrect decisions than the Super-Easy Casual strategy, so they typically play with an effective house edge of somewhere between 1 and 2 percent.

The most common errors are hitting a "stiff" bustable hand vs.

You can avoid these common mistakes by following the Super-Easy strategy.

Simple Basic Strategy The strategy is recommended for typical blackjack players.

Compared with the Super-Easy Casual strategy, the Simple strategy is slightly more difficult to memorize but reduces the effective house edge by about one-third of a bet per session.

The Wizard's chart is more compact, but I think you'll find it easier to read and memorize the strategy here at BlackjackCalculation.

The two simple strategies have slightly different strategy decisions and about the same simplification penalty.

A video introduction to this website's Simple strategy is available on.

Great Basic Strategy The basic strategy is recommended for serious players playing for long hours and high stakes.

Compared with the Simple strategy, the Great strategy is more difficult to memorize but reduces the effective house blackjack calculation by another one-tenth of a hand per session.

Use this strategy if you are playing for very long hours and high stakes, to get the best possible edge.

The exact playing decisions and house edge depend on the playing rules in effect at the table.

To generate a strategy chart, go to the Wizard of Odds.

Use the pull-down menus to specify the playing conditions: number of decks, whether the dealer stands or hits soft 17 the latter is more commonblackjack regels doubling is allowed after splitting a pair, whether surrender is allowed, and whether the dealer peeks for blackjack almost universal in the US.

The strategy chart is automatically updated as you set the rules.

Note: The Wizard uses a different coloring blackjack calculation for the strategy decisions.

Also, he combines the splitting and doubling decisions with the hit and stand decisions in the same block, which is the usual way of showing strategy tables.

However, I think it's easier to memorize the splitting and doubling decisions separately from the others, so that's how I've built my strategy tables.

To find out the house edge for a given set of rules, go to the Wizard of Odds.

Use the buttons to specify the playing rules, and the "Realistic results" field is automatically updated to show the house edge.

Card Counting Should you learn card counting?

For the vast majority of gamblers, the answer is no.

From watching movies like "Rain Man" and "21," you might think that card counting is an easy road to riches.

The truth is that card counting changes your slight disadvantage to only a tiny slight advantage.

To win, you must risk huge amounts for only a small gain.

For any gambling trip lasting a few days or less, luck is the overriding factor that determines whether you win or lose, and by how much.

Whether you use a good basic strategy -0.

I recommend card counting only if you're playing a lot or for large stakes and you can handle, both financially and emotionally, the long and large losing streaks that are bound to occur from time to time.

You will definitely lose money on some gambling trips, read article counting or not.

Learning card counting does not require unusual intelligence or ability, but takes many months of dedicated practice to master the skills.

If you decide to learn card counting, the very first step is to learn at least the basic strategy or preferably the basic strategy, forward and backward, so you can recall every decision automatically without hesitation or delay.

Spend at least a few gambling trips using only the basic strategy in the casino before you even start to learn card counting.

It may take some dedication, practice, and time to build your experience up to a level where you feel comfortable enough to take it to the next stage.

Advanced card counting strategies like Omega II and Wong Halves are abundant online and can be found on sites like.

For more about card counting, see Does Card Counting Really Work?

Aside from 6:5 games, the house edge for perfect basic strategy play is usually between 0.

If you play for significant amounts of money, it makes sense to seek out the games with the lowest house edge.

If you're gambling in Las Vegas, go to the "Wizard of Vegas".

Edge" heading at the top of the right-most column to list all the casino games in order of increasing house edge.

You'll notice that most of the games with the smallest house edge around 0.

If you're gambling elsewhere in the US, go to the website.

Download the free sample older newsletter, or better yet, purchase a copy of the latest monthly issue.

The newsletter shows the specific table rules, minimum and maximum bet sizes, house edge, and other playing conditions for almost here casinos in the US that deal blackjack.

To take full advantage of the better games, you need to learn the strategy decisions for the specific rules.

For example, if the surrender option is allowed, it reduces the house edge by 0.

For a good introduction to the game of blackjack, go to the.

For a very good and free online book on blackjack, seeby Norman Wattenberger.

Wizard of Vegas forum discussion on Good luck playing a simplified basic strategy!

Gambling Videos Blackjack Basic Strategy and House Edge Calculation Spreadsheet This video is a supplement to andtwo videos by the Wizard of Odds, Michael Shackleford.

The Wizard calculates the complete blackjack basic strategy and house edge, starting from a blank Excel spreadsheet, without using computer programming.

He completes these tasks in less than one hour, explaining step-by-step how to fill in.

If you have trouble believing some of the playing decisions of the basic strategy, or if you're a skeptical type who doesn't accept things on faith, this spreadsheet provides proof that the basic strategy is truly correct.

You can modify the spreadsheet for different playing rules and examine the effects on the strategy and house edge.

Watch the Wizard's videos first.

He does a fine job of explaining how he creates the spreadsheet.

If you understand him completely, you have no need for my video.

On the other hand, if you reach a point where you can't follow his explanation, pause it at that blackjack calculation and take a look at my video here, and see if that helps.

After that, you can go back to the Wizard's video and pick up where you left off.

In my video, I cover the following topics: Overview starts at 0:00 Introduction to the spreadsheet starts at 3:45 Modify the spreadsheet for no surrender allowed starts at 5:55 Modify the spreadsheet for dealer hits soft 17 starts at 9:50 Modify the spreadsheet for 6:5 blackjack payoff starts at 14:20 Terminology: infinite decks starts at 17:00 Terminology: European hole card rule starts at 18:35 Magic formula that fills a whole table starts at 20:30 The Wizard's spreadsheet file consists of several worksheet tabs.

Clicking 21 blackjack ramon tab displays the sheet for that tab.

Each sheet covers one aspect of the blackjack strategy analysis, summarized as follows: dealer: This sheet shows the probability of each possible final outcome 17 through 21 or bustgiven the dealer's current total.

The lower part shows the probabilities when the dealer doesn't check the hole card European hole card rule.

The upper part is modified to exclude the possibility blackjack calculation a dealer blackjack, since the dealer checks article source blackjack at the beginning of the round in American games.

The color-coded charts on the right calculate and display the results graphically, giving blackjack mit 52 karten familiar hit-stand tables that you see in all good blackjack books.

To analyze a game in which doubling is allowed only on a player total of 10 or 11, set the expected return of doubling to -1.

A return of -1.

Again, the color-coded charts on the right calculate and display the results graphically.

To modify the spreadsheet for a game that doesn't allow surrender, you can simply change all the -0.

Again, the color-coded charts on the right calculate and display the results graphically.

The color-coded chart at the bottom displays the results graphically.

This completes the calculation of the full basic strategy.

This information is needed to calculate the total expected value house edge.

The total expected value is the sum of all the individual expected values.

After accounting for the probability of a dealer blackjack, the "grand total" return is reported as -0.

To develop the Super-Easy, Simple, and Great simplified strategies, I modified the spreadsheet with simplification decisions and examined the effects on the total return.

For example, an obvious simplification is standing on 12 vs.

To analyze the effect of this change in the strategy, go to the hit sheet and set the cost of hitting to -1 enter -1 into cells B10 and C10.

This tells the spreadsheet that hitting 12 vs.

These two incorrect decisions lower the total return from -0.

This accounts for about half of the difference between the Simple strategy which uses this simplification and Great strategy which does not.

For a good introduction to blackjack, go to the For a very good online book on blackjack, seeby Norman Wattenberger For a detailed technical look at the game, see Wattenberger's To simulate gambling results yourself, see video �2014-2017 G Chang, BlackjackCalculation.

Note: All statistics are approximate due to varying rules and playing conditions.