Blackjack strategy game

The main objective of a player in blackjack is to neutralize the advantages of the banker, which is laid down in the rules of the game. I will explain. What does the whole gaming business hold? It is based on small units of interest, which are determined by the rules of a game. For example, when playing in Baccarat the advantage of the casino is 1.24%, when playing roulette, the casino advantage will be 5.26%, 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 casino advantage in blackjack will not be more than 1%, and the system of determining the weight of cards for winning in general reduces the casino advantage to infinitesimal values. I will explain the above considerations by calculation. The player always runs the risk of going first. If the player plays by the rules of the banker (buys up to 16 and stops at 17 and above, never doubling and not dividing the pairs), then the banker, in view of the fact that the first move belongs to the player, already has a 4.6% advantage. How can you compensate for this interest? The following decisions will be correct during the game.

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

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

The rarer to the "hard hand"

With - stand,
N - to buy.

Buy to "hard" 11 points or less is necessary, since there is no busting. Below in the table the rules of the buy-in to the "soft hand" are considered. These rules are even simpler, since the player stops on the "soft hand" 18 (except for the top card of the banker 9 or 10), and always stops at "soft" 19. To "soft" 17 it makes sense to buy.

The buy-in to the "soft hand"

With - stand,
N - to buy.

You should always buy to "soft" 17 and or less. It is recommended to duplicate to "soft" 18 against the top card of the banker 2, 3, 4, 5 or 6.
I note that the rules that are set out in the two tables above, should work together. Buying to the "soft hand" (in some episodes, to avoid busting, the player must make this hand "firm"), and in the future the player must follow the rules of buying to the "hard hand". Assume that the player has a combination of ace - 6 and the top card of the banker is 10, then according to the table of the draw to the "soft hand" the player buys it, but alas, this is a figure eight. As a result, the player on the hands of 15 in the "hard hand". After this, the player, in accordance with the purchase of a "hard hand", is already buying a "hard hand".

Duplicate bets. Next, consider the strategy in doubling the rates, which is a big problem for the casino. Proper use of this opportunity, together with weighted solutions for the purchase of additional cards, reduces the casino advantage to only a fraction of a percent. Below I give examples of duplication in the "hard hand" and "soft hand".

Duplicating in a "hard hand"

D - duplicate,
N - to buy.

To "hard" 8 player must buy. You can never duplicate on "solid" 12 and above.

Duplication in the "soft hand"

D - duplicate,
N - to buy,
O - dwell on the "soft" 18.

You can never duplicate on the "soft hand" against the top card of the banker 7, 8, 9, 10 or ace. The decision to buy a "soft hand" the player should look at the table of the draw to the "soft hand", which is higher. It should be noted that when buying to "hard" 11, the player is always advantageous to duplicate your bet. With a "hard" 10 player duplicates against any top card of the banker, except for an ace or a card that gives 10 points. On the "solid" 9 player duplicates only against 2, 3, 4, 5 or 6 banker. If the rules of the casino prohibit duplicate on 9 points, then the player should simply buy further. Similarly, the table above shows the most suitable options for duplicating 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 taken on average once in 50 times, that is, somewhere around 2% of the playing time.

P - to separate pairs,
N - do not separate the pairs.

Simply put, the strategy of pairing is constructed as follows: pairs of aces and eights always need to be separated, pairs of any other cards are never divided. If the casino is allowed to duplicate after pairing, it is recommended that you first divide the pairs, then duplicate 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 decision in the following situation: 16 in the "hard hand" of the player against the ace or dozens of banker.

Separation of pairs, if further duplication of rates is allowed

P - to separate pairs,
N - do not separate the pairs.

An example of studying strategy. Take a deck of cards and give yourself two nines, then go through all possible variants of the game against all, without exception, the top cards of the banker. Simplistically, it will look like this.
1. Stand on the "solid" 17 (and above) - the top card of the banker 7, 8, 9, 10, ace. Buy to the "hard" 16 (and below).
2. Stand on "solid" 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 above) - all the top cards of the banker. Buy to "soft" 17 (and below).
4. Duplicate on the "hard" 11 - all the top cards of the banker.
5. Duplicate on "hard" 10 - all the top cards of the banker, except 10 and the ace. Do not duplicate in any other situations.
6. Divide pairs of aces and eights - all the top cards of the banker. Do not share other pairs.
It should be noted that following these rules is already a significant step forward, although not the best way to conduct the game.

Strategy in figures. If the first two cards give you a total of 12, 13, 14, 15, 16 or 17 points, then the player's chance of winning will be at best 40%.
Every 10 passes, most likely the player will have to duplicate the bet.
Approximately 25% of the banker will move 21 points.
If every 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 you compare the player's expectations with this strategy, you will get the following. Let's say the player has a "hard hand" 11 against the top six of the banker. If the player does not duplicate but simply buys one card, then in this game in 61% of outcomes the player will win, in 31% of outcomes 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 rate. Duplication in this episode will lead to a doubling of the estimated win.
Let's consider one more example. For example, the player has an ace and a six, and the top card is a banker 7. Note that when the banker starts to buy to 7, in 37% of cases he dials 17, and in 37% of cases he dials from 18 to 21, and in 26% of cases Will handle. But if the player buys to "soft" 17 against 7, he will get an additional chance to win in 15 out of 100 cases. Thus, if the player does not buy, he will lose somewhere in 37 out of 100 cases. And vice versa, if he buys Will fail to 22%. As a result, the decision made in accordance with the strategy will increase the player's chances by almost 15%.
One more episode. For example, there was a difficult situation when player 16, and at banker 7. The calculation shows that if you stop at this amount, then the player will lose in 48.3 cases out of 100. If he buys, he will lose a loss to 37.7 cases from 100. That will reduce the probable loss by 10.6%.
Let's say the player came two eights. With 16 in the most general case, the player will win in 27 out of 100 cases, lose at 67, and 6 will be drawn. If you divide this pair, then the player raises his chances by 10%.

Strategy of the game in Blackjack Switch. Strategy of the game Blackjack Switch consists of two stages:
A) deciding whether to change or not to change cards after the first delivery;
B) a comparison of the player's cards and the dealer's open card. Depending on the combinations, the player makes a decision: pull the next card, stop, double, divide, and so on. The table below shows the basic strategy for this game.

		Dealer card
		2	3	4	5	6th	7th	8	9	10	A
TO a R T S and D R about to a	8 and below	H	H	H	H	H	H	H	H	H	H
	9	H	H	H	H	D	H	H	H	H	H
	10	D	D	D	D	D	D	D	H	H	H
	eleven	D	D	D	D	D	D	D	H	H	H
	12	H	H	H	S	S	H	H	H	H	H
	13	H	S	S	S	S	H	H	H	H	H
	14	H	S	S	S	S	H	H	H	H	H
	15	S	S	S	S	S	H	H	H	H	H
	16	S	S	S	S	S	H	H	H	H	H
	17 and above	S	S	S	S	S	S	S	S	S	S
	A-8 and above	S	S	S	S	S	S	S	S	S	S
	A-7	S	S	S	D	D	S	S	H	H	H
	A-6	H	H	H	D	D	H	H	H	H	H
	A-5	H	H	H	H	D	H	H	H	H	H
	A-4	H	H	H	N	H	H	H	H	H	H
	A-3	H	H	H	H	H	H	H	H	H	H
	A-2	H	N	H	H	H	H	H	H	H	H
	AA	SP	SP	SP	SP	SP	SP	SP	SP	SP	H
	10-10	S	S	S	S	S	S	S	S	S	S
	9-9	S	S	SP	SP	SP	S	SP	SP	S	S
	8-8	SP	SP	SP	SP	SP	SP	SP	SP	H	H
	7-7	H	SP	SP	SP	SP	SP	H	H	H	H
	6-6	H	H	SP	SP	SP	H	H	H	H	H
	5-5	D	D	D	D	D	D	D	H	H	H
	4-4	H	H	H	H	H	H	H	H	H	H
	3-3, 2-2	H	H	H	SP	SP	SP	H	H	H	H
		2	3	4	5	6th	7th	8	9	10	A

H

- Hit

S

- Stand

D

- Dowble down

SP

- Split