• Well pumps
• Filters for cleaning
• Well drilling
• Borehole pumps
• Wells

Strategy for a profitable blackjack game. Blackjack forum basic blackjack strategy Blackjack basic strategy

Blackjack is a game where the player's decisions directly affect the results. Taking, stopping, doubling the initial bet, splitting up or giving up altogether - all this and much more can be easily applied with benefit, having in service the previously outlined strategy. Distinctive feature blackjack strategies are not based on assumptions, but are developed based on the results of mathematical calculations.

This table assumes a number of simplifications and common to all varieties... When choosing, it is recommended to use the appropriate strategy for the type of blackjack, for example, depending on the number of decks:

Below is a table of the probability of the dealer's final hand in standard blackjack: the dealer collects at 16 and stops at 17. Based on this, the chance that the dealer's final hand will be 16 is 0%, because he will have to draw. Thus, you can trace how likely a particular event is in each hand.

The first step towards learning how to play blackjack is learning a basic strategy. The main benefit of applying the basic strategy is to reduce the percentage of casino income to 0.5% or even lower. You can achieve such indicators taking into account some tips and recommendations, such as the number of card decks, special rules, etc.

A soft hand in blackjack is a combination in which there is an ace and takes on the value 11. For example, a pair of Six and Ace would be called soft and equal 17 points (soft 17).

Playing on soft positions:

1. Draw a card on soft 17 such a hand consists of A + 6 and should always be replenished with a card, as it is guaranteed to increase the total value.
2. If the hand is lower than 17, it is also worth getting an extra card. Such actions are necessary in order to neutralize the dealer's advantage, which lies in the next move.
3. When there is a hand with a soft 18, the player's preferred action is to double, but with the condition that the dealer's card is 8, 9, or 10.

A firm hand is a hand in blackjack in which the ace is either absent or equal to 1 point. For example, a Queen and Seven is a solid 17 point hand, as is a hand with an Ace, Nine, and Seven that is a solid 17.

The following tips work great in difficult situations with firm hands where the score is greater than 12.

1. If the user's hand is in the 12-16 range, and the dealer has a card worth 2-6, the logical choice is to stop. With such a low value, the dealer's chances of losing due to brute-force are quite high.
2. With a difficult hand in the 12-16 range when the dealer has the first card of 7 or better, the correct action is to take a chance and draw an extra card.
3. Always stick with the hard 17. This rule works because a 17 is considered pretty close to 21 and often wins.

The art of doubling blackjack

If, after receiving the cards, the player believes that he has an advantage over the dealer, he can double his bet. It should be remembered that after doubling it is possible to receive no more than 1 card. There are also varieties in which doubling is allowed after splitting (split), they are called DAS - Double After Split.

The doubling option in blackjack can be used very effectively, however, to use it correctly, you need to clearly know the appropriate hand range:

• Soft 13 or 15, dealer card 5 or 6;
• Soft 15 or 16, dealer card 4, 5 or 6;
• Soft 17 or 18, dealer's card from 3 to 6;
• The hand value is 9, the dealer's card is from 2 to 8;
• The hand value is 10, the dealer's card is 9 or lower;
• The hand value is 11 when the dealer has an ace or a 10-digit card.

Varieties and their effect on distances

With the development of gambling, more and more blackjack options are moving away from the classic 3 to 2 payouts for the maximum Blackjack hand. Newer variations tend to pay out 6 to 5, but there are times when odds go as high as 7 to 5. The best example of this is the Las Vegas casino, where 10% of 21 card tables pay less than the standard ones. 3 to 2.

Many pros are convinced that only 3 to 2 variants are worthy of being called blackjack, while the rest should be labeled as “21”, including popular types such as Super Fun 21 and Spanish 21.

Regardless of the name of the blackjack, in a casino or on an online site, users should personally check the paytable for the presence of a 3 to 2 coefficient for the Blackjack combination, and if there is no such information, it is worth checking it with the administrator or support service.

Below is a table, on the left of which the most popular rules and types of blackjack are indicated, and on the right - their impact on the return for the player. In the upper part, you can observe a positive effect (an increase in the player's advantage). The lower, the lower the influence and after the middle the advantage goes to the side of the casino.

Mistakes when choosing a strategy

Among blackjack fans, there are a lot of unsuccessful strategies and misconceptions that are based on additional draw, imitation of the dealer's actions and the assumption that the dealer's hole card will be equal to 10 points.

The specific examples below for each case are based on Atlantic City Rules of Blackjack, which assumes the following assumptions:

• The dealer always stands on soft 17;
• Allows separation of up to 4 hands;
• Doubling after splitting is allowed;
• Doubling on any two cards is allowed;
• The fixed profit of the casino is at the level of 0.43%.

Additional set of cards

Analysis of the probability table of outcomes shows that the odds with a combination of 12-16 points with an additional set will be low and only in 5 out of 13 cases the received card will improve the hand, while in other cases, bust will be inevitable. Making the wrong decisions in such situations increases the casino's share to 3.91%.

Dealer imitation

By repeating the dealer's decisions to set the minimum combination of 16 or soft 17, without using division or doubling, the player loses even more chances of winning, because with this strategy, the house's income increases to 5.48%. and will make it impossible to achieve positive results.

The hole card is 10

The mistake of such judgments lies in the fact that if the dealer has the first card - an ace, he checks it for the blackjack combination and thus proves that the second cannot be estimated at 10 points. Having missed this moment, the player will try to gain a strong hand and, as a result, will bust. The mistake “take ten” leads to the fact that the casino share will reach an incredible 10.03%.

For the attention of the dear reader, we present the basic table for playing blackjack, which will be given at the end of this material. It is thanks to this table that you will be able to make the statistical correct decisions in a timely manner. Now the following questions will not be difficult or insoluble for you:

• When to skip a move
• When to take another card
• When to double your bet
• When it makes sense to split your cards
• When is the best time to fold.

It's no secret that the basic blackjack strategy, first of all, includes understanding the table given in this post. Contrary to the expectations of the players, it turns out to be very easy to play according to this table, and for some players with a certain level skill, it is the table that will become the key to raising your level of play on a fundamentally new level... We do not promise a panacea - with the proper level of skill, experience and perseverance, this table will help you in the game.

A reasonable question arises - how to use the table?

Everything is quite simple - your hand is located on the left, where the letter A, respectively, denotes an ace, and all other numbers are the sum of your Points. Next, you need to find an open card from the dealer (see the top column) and, approximately as in the old well-known game “ Sea battle»Match your row as well as the dealer's column. At the intersection, you will see the name of the action you need to do according to the basic Blackjack strategy.

10 BEST BLACKJACK VARIETIES
Blackjack itself is one of the most simple games that are played in casinos. The player's task is to collect the sum as close as possible to 21, but no more. At the same time, you need to score more points than the dealer. That's all.
Despite the slight differences in the rules, the base game can be found in almost every land-based and online casino in the world. Standard blackjack is just the beginning, and its variations in casinos have grown dramatically over the past few decades.
These new versions were created to breathe new life into an old favorite, adding spice and excitement to the game. They have become popular not only in traditional land-based casinos around the world, but also in online casinos, where they are enjoyed by the most different people playing straight from their living rooms.
So, we present to you the Top 10 blackjack options that are played in land-based and online casinos. To play the other versions, you need to know the basic rules of the game, however, they are so simple that most players can understand them in a matter of minutes.
PONTUN - BRITISH BLACKJACK
Description of Pontun
Pontun is the British equivalent of American blackjack. He has a lot in common with his American brother, but there are a couple of features that make the game more interesting and add a bit of strategy. The main difference is that players can see one card before they place their bets, and they can also increase their bets during the game.
How to play Pontun
Each player is dealt one card, then they choose how much to bet. Then the second card is dealt and the game proceeds in the same way as in regular blackjack, with the only difference in terms (for example, "twist" instead of "hit"). If the player scores more points than the dealer, he wins, with a few exceptions - if the player has five cards with 21 points or less - he wins the doubled bet!
BLACKJACK SWITCH - BLACKJACK WITH TWIST
Description of Blackjack Switch
Blackjack Switch was patented in 2009 by Geoff Hall and quickly became one of the most popular blackjack options found in many land-based and online casinos. For the most part, it is similar to regular blackjack, with the difference that each player has two cards and they can change them during the game.
How to play Blackjack Switch
In Blackjack Switch, each player places two bets at the start of the game and receives two cards. After that, the player can exchange cards from two hands and it is possible to get the best cards by turning two 16s (A / 5, 10/6) into blackjack (A / 10) and 11 (6/5).
However, this advantage comes at a price. First, blackjack is 100% winning. Secondly, the croupier loses only if he has 23 points or more on his hands, but if he gains only 22, then the players are left with nothing.
BLACKJACK WITH DOUBLE OPENING - OPENING CARDS KRUPIER
Description of Double Open Blackjack
Double disclosed blackjack is the undisputed favorite of the players. The fact is that this is one of the few variations where players' winnings increase. And for this reason, this version is quite rare - casinos do not want to provide players with an opportunity to win more money... So if you come across this version of blackjack somewhere - don't hesitate, sit down and play!
How to Play Double Disclosed Blackjack
Double disclosed blackjack is played just like regular multi-deck blackjack, with the only difference - both of the dealer's cards are face up, so everyone knows them and makes decisions based on it. Of course, this gives the players a huge advantage, so the remaining rules balance the balance in favor of the casino. Insurance, retreat and multiple splits are prohibited, and the dealer wins at 17. Even so, the house edge is zero.
Double Disclosure Blackjack is known for increasing a player's chances of winning
BLACKJACK BASTER - BETTING ON LOSING
Description of Blackjack Buster
Blackjack Buster actually does not differ much from the standard game, except that there is an opportunity to place a bet at any time before the dealer loses. Than more cards takes the dealer - the more tempting the opportunity to place a bet.
How to play Blackjack Buster
Blackjack Buster is played just like the regular version. The part called "Buster" is an opportunity to make an additional bet on whether the dealer loses or not. The bet is made only on this, it does not matter whether the player himself wins. The more cards the dealer has in hand, the higher the payout, from 1: 1 with 3 cards and up to 250: 1 with 8 cards.
BLACKJACK BONUS - BLACKJACK WITH BONUS
Description of Blackjack Bonus
Like the Buster variant, Blackjack Bonus is very similar to the classic version, but with the possibility of an additional bet, which gives the player the opportunity to hit a good jackpot. Blackjack Bonus is played with two decks and is the most popular version among card-counting players and among professional players.
How to play Blackjack Bonus
Blackjack Bonus is played just like any other blackjack with two decks, with only a small difference. You can place an additional bet before the cards are dealt. This is a bet on whether or not you have blackjack in the first two cards, so you can win even if the dealer also has blackjack. Payouts vary depending on the casino, they can reach, for example, 25: 1. If you do not get blackjack, you will lose your bet - everything is simple.
BLACKJACK CALIFORNIA - BLACKJACK WITH BANK
Description of Blackjack California
California blackjack was invented in the poker rooms of Southern California, where traditional blackjack was banned because the player was playing against the casino. California blackjack is still extremely popular in California, and its peculiarity is that the role of the banker is transferred between the players, that is, each player takes turns playing against the others.
How to Play California Blackjack
Although California Blackjack has similarities to the regular version of the game, it is still very different. One of the players acts as the dealer in each game and plays against the rest of the players. During the game, the bet of the player acting as the croupier is the "bank" and other players are trying to get it, while the banker, on the contrary, is trying to increase it. There are other differences: jokers are used in the deck, they are counted as 2 or 12, you need to score 22 points instead of 21, and when a player gains more points, he does not automatically lose. Therefore, this version of the game is sometimes referred to as "no-bust blackjack".
No Surprise: California Blackjack Appears in California Land-Based Casinos
BLACKJACK DOUBLE ATTACK - DOUBLE BETS
Description of Blackjack Double Attack
Blackjack Double Attack is also sometimes called Double Attack or Double Blackjack. In fact, this is a version of the Spanish game "21", which was one of the first varieties of blackjack. Blackjack Double Attack appeared in Atlantic City and then moved to Nevada. Its success is based on the fact that players get a chance to double their bets by looking at the dealer's first card and can fold at any time.
How to Play Blackjack Double Attack
This game is usually played with eight Spanish decks (excluding the first 10 cards). Blackjack Double attack is similar to regular blackjack in that you need to collect 21 points and defeat the dealer. And it is called so because the player can look at the dealer's first card and, depending on this, double the initial bet. In addition, a feature of the game is that players can either double their bet or fold at any time, which is especially appreciated by cautious players.
BLACKJACK PITCH - SHIRT UP
Description of Blackjack Pitch
Believe me, even if you first hear about Blackjack Pitch - this game is familiar to you. This is just blackjack, which is played with one or two decks, and it got its name from the action that the dealer uses when dealing cards. Online Blackjack Pitch is just one deck blackjack. Card counting players love Blackjack Pitch because it is easy to keep track of the cards. And it is for this reason that this variant of the game is absent in most casinos.
How to play Blackjack Pitch
Blackjack Pitch is played with one or two decks, cards are dealt face down to each player, making the game feel like old-fashioned poker. Bribes, stops, doubles, splits and insurance are allowed here, just like in traditional blackjack. If you want a card, take it, if you decide to stop, put your hands on the chips and hope for luck.
BLACKJACK IN MULTIPLE HANDS - VIDEOPOCKER STYLE
Multi-hand Blackjack description
Multi-hand blackjack is one of the first types of online blackjack. Online casino organizers noticed that visitors like to play video poker in several hands and decided to use it in blackjack as well. Of course, in land-based casinos you can also play multi-hand blackjack, but only if there is a seat near you at the table. There is no such limitation in the online version, so you can play as many hands as you like.
How to Play Multi-Hand Blackjack
If you know how to play regular blackjack, you also know the rules of multi-hand blackjack. This is a standard game, but instead of one set of cards, you can play up to eight at the same time, which makes the game much more dynamic and interesting.
Multi-hand blackjack allows you to play with 8 sets of cards
CHINESE BLACKJACK - ASIAN STYLE
Description of Chinese Blackjack
As you might have guessed, Chinese blackjack is very popular in China and can be found in many casinos in South and East Asia. At first glance, this is an ordinary blackjack, at the beginning of the game the players have two cards, they strive to score 21 points, and so on. However, there are a lot of differences in the Asian version of the game.
How to play Chinese blackjack
Chinese blackjack starts in the same way as regular blackjack, each player receives two cards from the dealer. This is where the similarities end and the differences begin. Two aces lead to an automatic victory, the dealer can choose to draw or stop, and the value of the aces differs depending on how many cards you have in hand. It looks complicated, but believe me, a couple of hours at the gambling table and you will play Chinese blackjack like a real pro.





In an effort to win in the game against the casino, players constantly solve the problem of optimizing the result of the game. The optimization problem, like two sides of the same coin, is, on the one hand, minimizing a loss, and on the other, finding a way to obtain the maximum gain. The set of optimal solutions in each of the possible game situations (events) constitutes the Basic strategy of the game.

The vast majority of sources declare that playing according to the Basic Strategy allows the player to achieve best result... If in every game situation, regardless of whether it is favorable for the player or not, the player makes the optimal decision, then the final result should be the same. In practice, this is far from the case. Why is it that strict play according to the Basic Strategy does not always lead in the end to the expected result? To answer this question, it is necessary to understand the basis, the fundamental principles of building basic strategies.

The basic strategy is a set of optimal decisions. The optimal solution is the best solution in terms of the expected value of the result.

The value of the mathematical expectation depends on the probability of the event and its result (the amount of gain or loss). Each event in the casino game is random. The result of a single random event cannot be predicted, it can only be characterized, estimated by such quantities as probability, mathematical expectation, etc. Probability and mathematical expectation are the main characteristics of a random event. So, on a roulette wheel, one of 37 numbers is an absolutely random event, the probability of each number being drawn is the same and is equal to 1/37. Falling a number in the next spin is a separate, independent, random, unpredictable event. However, knowing the probability of each number appearing, it is possible to predict with sufficient accuracy how many times this or that number will appear in the next 100 thousand spins. And even more precisely, if the sample contains 1 million events (spins). If we take any ten results of spins on the roulette wheel, then it is unlikely that we will get an equal number of red and black numbers, although their probabilities are equal (18/36). Nevertheless, in a significantly larger sample, the number of red and black numbers appearing will rapidly approach the equality of values, as the number of spins increases. According to the same law, the actual value of the game result will approach the calculated value of the mathematical expectation. Thus, the expected result can only be achieved with a very large number of repetitions. random events.

The best and most used example is the basic strategy in the game "Blackjack". Here, a small table contains all possible combinations of starting hands (two cards of the player against the dealer's card) and prescribes further action- accepting one of the five possible options (take a card (hit), do not take a card (stay), make a split, make a double, be from further continuation of the game (surrender)). Each of the possible options has an absolute result: a loss (minus one bet), a win (plus a bet), a draw (the result is zero) and 0.5 bets if you choose to refuse to continue the game (surrender). Each decision result in boxing has its own probability. This allows you to calculate the mathematical expectation of the result of each option separately, which, as a rule, is presented as a percentage of the unit rate. The highest value of the mathematical expectation of the result determines which of all possible options is the best (optimal).

Unfortunately, most sources, books and articles on blackjack present the basic strategy in the form of a table of decisions for all possible starting hands, without information about the value, the numerical value of the mathematical expectation of the result - the average expected result when choosing the optimal option, and how much the optimal option is better than the rest. Since the basic strategy relies on a priori values ​​of the probabilities and the mathematical expectation of the result (results), it must be understood that the basic strategy acts only under conditions when the game corresponds to the mathematical model, that is, it acts on an infinite set of random events. In practice, in real game only few players can meet this requirement. Most players are limited by resources (money in the game), which also creates a time limit. Even if we consider individual game sessions as part of a single game, the number of hands played does not allow us to speak of an infinite number of random events. At the same time, the deviation of the final actual result of the game from the mathematical expectation remains very significant. Most of the players who play several times a month have quite a quantifiable number of hands played; in these conditions, the requirement that the number of repetitions of each individual starting deal approach infinity is unattainable. Under these conditions, there is no need to talk about the correspondence of the game to the mathematical model, which means that the basic strategy, as a tool for controlling the game, is ineffective. The basic strategy works only in the area of ​​large numbers, in a long game, in the absence of resource constraints. Moreover, in any casino game, in any game situation, when the player is significantly limited in resources or time, the solution that is optimal from the point of view of the mathematical expectation of the result is not the best. So, in "Blackjack", if the player has the last bet in a situation of 15 points against 9 at the dealer, the surrender option becomes preferable to the hit option, which has a mathematical expectation of the result higher than -0.5 from a single bet ... In Russian poker, when a player has a high-rank combination, situations often arise when the "Insurance" bet becomes profitable and expedient for the player (when the dealer's probability of playing is less than 50%). In this case, the value of the mathematical result of the option - the average expected result of the "Insurance" bet is positive and directly proportional to the value of the bet. Those. if the bet is profitable for the player, then the maximum allowable bet must be placed. Nevertheless, in conditions of limited resources, it is impractical to put “everything” on insurance - the risk of losing the bet and with it all the money remaining in the game is less than 50%, but at the same time, it is very high. Moreover, in Russian poker situations when the "Insurance" bet is profitable occur regularly, but the frequency of such events is not so high, and even less comparable to the infinite set.

In the lottery: if the player is offered the option: take a large cash prize at once or double it if any number from two to six falls out when throwing a dice with six sides. When one drops out, the player loses the opportunity to receive a prize. Here the chances of doubling the prize significantly exceed the chances of losing it (5/6 versus 1/6), in this regard, the calculation of the mathematical expectation of all possible options will indicate the advisability of going on a roll of the dice with a chance of doubling the prize at the risk of its complete loss (1 , 5 versus 1):

1. Get a prize immediately: the mathematical expectation of the result is 1 = 1 prize * probability 1 (100%);

2. Take risks 2 * 5/6 + (- 1) * 1/6 = 9/6 = 1.5 (double prize with probability 5/6 or loss of prize with probability 1/6).

But to consider this situation in the lottery as one of the many random events is not true, since this is a one-time event and is not one of the many events, both in nature and in magnitude.

Of course, when playing in a casino, it is necessary to make optimal use of every chance, every option, provided that it (an option or its result) occurs regularly, so often that one can speak of it as a random event from an infinite set.

Despite the fact that the events in the casino have a pronounced randomness, each of which is individually unpredictable, the entire set of random events in each individual game, repeating an infinite number of times (from day to day, infinitely long), obeys a strict distribution law. At the same time, the result of the game is predictable and tends to the calculated expected value as the number of random events grows. The mathematical and statistical model of the game is based on this.

In a casino, the laws of the theory of probability are unquestioning. The game of individual players, of all casino players in the aggregate, the results of the game of the casino itself, as an institution, is subject to the same laws. It is on the laws of the theory of probability and mathematical statistics that the mathematical model of the casino is built. These laws protect the profitability and existence of the casino as a business.

Not only gamblers, but also casinos are at risk of mismatching the mathematical model. Incorrectly selected maximum bet limits, insufficient reserves, low attendance, the presence of several players whose game result determines or significantly affects the final result of the casino as a whole (for a certain period (day, month)) can put the casino in a situation where the average statistical result is expected for a short period of time (a day or a month) is not possible. For the casino to bring stable, positive result(income), there are many factors to consider, ranging from the rules of games, sweepstakes and lotteries, bet limits and reserves, to the level of service, management, marketing and security. Casinos with an unstable, unbalanced structure of visitors, with bet limits not backed by assets (which do not allow playing a large game for a long period of time), operate under conditions of an increased risk factor, when the mathematical and probabilistic characteristics laid down by the rules of games lose their significance, which can lead to both extra profits and problems with securing (paying) winnings. Casinos that do not conform to the mathematical model find themselves in a situation where the result is unpredictable, which can lead to a situation where the existence of a business becomes dependent on the result of a random event.

Blackjack - strategy game

The main task of the blackjack player is to neutralize the advantage of the banker, which is laid down in the rules of the game. Let me explain. What is the whole gambling business based on? It is based on small units of interest, which are determined by the rules of a particular game. For example, when playing Baccarat, the house edge is 1.24%, when playing roulette, the house edge will be 5.26%, and blackjack gives a huge advantage from 6 to 16%. If you learn to use the strategy of the game, which will be described below, then the house edge in blackjack will be no more than 1%, and the system for determining the weight of cards for winning generally reduces the house edge to infinitesimal values. Let me explain the above reasoning by calculation. The player always runs the risk of going over first. If the player plays according to the rules of the banker (buys up to 16 and stops at 17 and higher, never duplicating or dividing pairs), then the banker, since the first move belongs to the player, already has a 4.6% advantage. How can this interest be compensated? The following decisions will be correct during the game.

The correct decision "to buy - to stop" is 2.55% in favor of the player.
The correct decision "duplicate - buy" is 1.55% in favor of the player.
The correct decision to split pairs is 0.55% in favor of the player.
The amount is 4.6 in favor of the player.

Thus, if you use the right decisions, then the advantages of the casino can be reduced to almost zero. In this regard, the correct decisions "buy - stop" are summarized in the table below. It is worth noting that a player has a "soft hand" if his cards include an ace and, at the same time, counting an ace for 11 points, the player does not bust. All other combinations other than 21 points are called "firm hands".

Buy-in to a "firm hand"

c - to stand,
n - buy.

Buying for "solid" 11 points or less is mandatory, since there is no overkill. The table below discusses the rules for buying a "soft hand". These rules are even simpler, since the player stops at the "soft" hand 18 (except for the top card of the 9 or 10 banker), and always stops at the "soft" 19. It makes sense to buy to the "soft" 17.

Buy to the "soft hand"

c - to stand,
n - buy.

You should always buy to "soft" 17 or less. It is recommended to duplicate to "soft" 18 against the top card of the banker 2, 3, 4, 5 or 6.
Note that the rules outlined in the two tables above should work together. When buying for a "soft hand" (in some episodes, in order to avoid busting, the player must make this hand "hard"), and in the future, the player must follow the rules of buying for a "hard hand". Suppose that the player has an ace in his hand - 6, and the top card of the banker is 10, then in accordance with the table of buy-in to the "soft hand" the player buys it, but alas, it is an eight. As a result, the player has 15 in a "solid hand". After that, the player, in accordance with the buy-in to the "firm hand", buys already to the "firm hand".

Duplicate rates. Next, we will consider the strategy of duplicating bets, which is a big problem for the casino. Correct use of this opportunity, together with balanced decisions to buy additional cards, reduces the casino's advantage to only a fraction of a percent. Below I give examples of duplication in "hard hand" and "soft hand".

Duplication in a "firm hand"

d - duplicate,
n - buy.

For "solid" 8, the player must buy. Never duplicate on "solid" 12 and above.

Duplication in the "soft hand"

d - duplicate,
p - buy,
o - stop at "soft" 18.

You should never double on a soft hand against the top card of the banker 7, 8, 9, 10, or ace. The decision on the buy-in to the "soft hand" the player must look at the table of the buy-in to the "soft hand", which is above. It is worth noting that when buying to the "hard" 11, it is always profitable for the player to duplicate his bet. With solid 10s, the player doubles against any of the banker's top cards other than an ace or a card that gives 10 points. On "solid" 9s, the player only doubles against 2, 3, 4, 5 or 6 of the banker. If the casino rules prohibit duplication at 9 points, then the player should simply buy further. Similarly, the table above shows the most acceptable options for overdubbing with a soft hand.

Separation of pairs. The separation of pairs should also be considered in terms of the strategy of the game, since such a decision has to be made on average 1 time in 50 deals, that is, about 2% of the playing time.

p - to separate pairs,
n - do not separate pairs.

Simply put, the strategy of splitting pairs is built as follows: pairs of aces and eights must always be split, pairs of any other cards are never split. If the casino is allowed to duplicate after splitting pairs, then it is recommended to first split the pairs, then duplicate on the first two cards, and then buy or stop.

Double insurance. If the rules of the casino allow double insurance, then it makes sense to resort to this solution in the following situation: 16 in the "solid hand" of the player against an ace or tens of the banker.

Splitting pairs if further duplication of bets is allowed

p - to separate pairs,
n - do not separate pairs.

An example of learning a strategy. Take a deck of cards and deal yourself two nines, then go over all possible options games against all, without exception, the top cards of the banker. Simplified, it will look like this.
1. Stand on "solid" 17 (or higher) - the top cards of the banker are 7, 8, 9, 10, ace. Buy to "hard" 16 (and below).
2. Stand on "hard" 12 (and above) - the top cards of the banker 2, 3, 4, 5, 6. Buy to "hard" 11 (and below).
3. Stand on "soft" 18 (and higher) - all top cards of the banker. Buy to "soft" 17 (and below).
4. Duplicate on "hard" 11 - all the top cards of the banker.
5. Duplicate on "hard" 10 - all the top cards of the banker, except 10 and ace. Do not duplicate in any other situation.
6. Divide the pairs of aces and eights - all the top cards of the banker. Do not share other couples.
It should be noted that following these rules is already a significant step forward, although not the most The best way playing the game.

Strategy in numbers. If the first two cards give you a total of 12, 13, 14, 15, 16 or 17 points, then the player's chances of winning will be 40% at best.
Every 10 deals, most likely the player will have to duplicate the bet.
At about 25%, the banker will go over 21 points.
If in each deal the player regularly receives exactly 18 points, then playing long enough, the player will leave all his money in the casino, since the "average hand" of the banker is slightly more than 18.
Now, if we compare the player's expectations with this strategy, we get the following. Let's say the player has a "solid hand" 11 against the top six of the banker's top card. If the player does not duplicate, but simply buys one card, then in this game in 61% of the outcomes the player will win, in 31% of the outcomes he will lose, and in 8% of cases there will be a draw. Thus, the mathematical expectation of winning in this situation will be about 30% of the bet. Duplication in this episode will double the estimated winnings.
Let's take another example. For example, the player has an ace and a six, and the top card of the banker is 7. Note that when the banker starts to buy at 7, then in 37% of cases he will dial 17, and in 37% of cases he will dial from 18 to 21, and in 26% of cases will go over. But if the player buys to the "soft" 17 against 7, he will get an additional chance of winning in 15 cases out of 100. Thus, if the player does not buy, he will lose somewhere in 37 cases out of 100. And vice versa, if he buys, then will reduce the failure to 22%. As a result, the decision made in accordance with the strategy will increase the player's chances by almost 15%.
Another episode. For example, created difficult situation, when the player has 16, and the banker has 7. The calculation shows that if you stop at this amount, the player will lose 48.3 cases out of 100. If he buys, he will reduce the loss to 37.7 cases out of 100. That will reduce the probable losses by 10.6%.
Let's say the player got two eights. With 16 in hand in the most general case, the player will win 27 times out of 100, lose 67 times, and 6 will be a draw. If you split this pair, then the player increases his chances by 10%.

Strategy for playing Blackjack Switch (Switch). The Blackjack Switch game strategy consists of two stages:
a) making a decision to change or not change cards after the first deal;
b) matching the player's cards and the dealer's open card. Depending on the combinations, the player makes a decision: draw the next card, stop, double, split, and so on. Below is a table with the basic strategy for this game.