17-03-2021

In order to understand how the best strategy is computed, lets have a look at the Blackjack rules. Blackjack is played with 1 to 9 decks of 52 cards each. The values of the cards correspond to their numerical value from 2-10. All face cards (Jack, Queen, King) count 10 and the Ace either 1 or 11, as the holders desires. A score with an ace valued as 11 is named soft-hand. A soft-hand score of 17 is denoted as 7/17.

The color of the cards does not have any effect.

  1. King’s Bounty Blackjack Before each round of Blackjack play, you can place a King’s Bounty side bet on the designated spot on the table at the same time you make your regular bet. Once the first two cards have been dealt to each Player, the Dealer determines if any Players who made King’s Bounty wagers have two cards totalling 20.
  2. Online Blackjack begins with the player deciding how much money to bet on a hand and the available betting range depends on the Blackjack variation, but the most common amounts are £1, £5, £25 and £100. Queen, King or Ace, your hand total will jump from 16 to 18 or 19. Splitting a pair of Aces is highly recommended as it offers a very.

Blackjack, formerly also Black Jack and Vingt-Un, is the American member of a global family of banking games known as Twenty-One, whose relatives include the British game of Pontoon and the European game, Vingt-et-Un. It is a comparing card game between one or more players and a dealer, where each player in turn competes against the dealer. Offered only when the dealer's upcard is an ace, it acts as a safety net against an opposing blackjack. An insurance bet is usually half your original wager and pays 2 to 1. The side bet is completed when the dealer's second card is revealed. If it's a ten, jack, queen or king, the dealer will make a blackjack and you will win the insurance bet. If the dealer has a 10, jack, queen or king as the up card, it is possible he has a blackjack. In this instance, the player's hand will lose except with another blackjack. The dealer will check whether a blackjack is possible and will collect the losing bet immediately if he does have a blackjack.

The goal of the game is to reach a score (=sum of the cards) as high as possible but not more than 21. A Blackjack (Ace and a card whose value is 10) beats all other combination of cards. If the final sum is higher than the sum of the dealer, the player gets a play-off of 1:1 of his initial stake. If the players combination is Blackjack, the play-off is 3:2 of the initial stake. If the sum of the dealer is higher, the player loses his bet. If the sum is equal, then nobody wins. If the player holds a score of 22 or more, he busted and thus he loses his bet immediately. If the dealer busts, the players wins independently of his final score.

Blackjack can be played from one to seven players against one dealer. The dealer shuffles the cards. Now all the players must place their bets. Then each player and the dealer receives one card. The cards all lie face up. Thereafter the player receive a second card. The player now can continue to buy further cards, one by one, until he believes that he is near enough to 21. If the player believes to have reached a score high enough he must signalize the dealer to stay, which means not to ask for any further card.

Doubling down

The player has some more possibility's other than buy and stay. If he reached a score of nine, ten or eleven with his first two cards, he can double his bet. However if he does so, he will be dealt only one more card.

Splitting

If the first two cards are of the same value, the player has the possibility to split his hand, which means that each of the cards are used to start with a separate bet. For each split hand, an additional bet equal to the first is required. There is one exception: If the player splits two Aces, he receives only one more card and in such a case a score of 21 is not considered as Blackjack.

Dealers turn

Once the last player has decided to stay with his score, the dealer starts to draw a second card. If his result is reaching a score of 17 or more, he will deal himself no further cards. If the dealer has a score of 16 or less, he must draw until he has reached 17 or more. If the dealer exceeds 21, he busts. This is the basic knowledge You have: The dealer can not split nor double; he must play according to strict rules: Dealer must stand on all 17. That's the players advantage! On the other side, if both the player and the dealer busts, these scores are not considered as equal and the player looses his stake. That's the dealers advantage!

How to compute the correct strategy

The analyst sees the shoe as black box which computes him a probability for drawing a card of a certain value. Say we have 6 decks of 52 cards, so the probability of drawing an Ace is 6*4/6*52 = 24/312 = 7.7%. The probability of drawing a second Ace without reshuffle is 23/311 = 7.4% and so on. As the game goes on without reshuffle, the probabilities to draw certain cards will raise or decline, depending on which cards have gone in the past. From our point of view the shoe behaves like a wheel of fortune with varying distances between the nails.

The first thing to do, is to calculate the probabilities of the dealers last hand. This computation is straight forward as the dealer has no way of doing any decision. So it is quit easy to find out the probabilities of his final score.

The next thing is to find out the probabilities of what would be if .. . If the players score is 16, what's the probability of achieving 17, 18, 19, 20, 21 or busting. Probabilities also have to be calculated for splitting and doubling.

King

Because the player knows the dealers first hand before deciding what to do, he can compare the probabilities of the dealers last hand against the probabilities of possible final scores for each intermediate score he has. With this comparison, winning expectations can be calculated, gaining information about the best playing strategy.

Knowing the best playing strategy and knowing the probabilities for each final score, the dealer and the player will reach, the total expectation can be calculated. The total expectation is the magic number playing Blackjack. If it is below zero the player has to place minimum bets as with this card distribution he will lose on the long term. If however the total expectation is above zero (unfortunately thats quite rare) the player has to place high bets.

Interpret the strategy tables

For each decision a player can do the best strategy can be computed. There are 20 possible conditions where the player has to take decisions. These are:

  • Buy or stay if the score is 12, 13, 14, 15, 16, 7/17 or 8/18.
  • Double or buy, if the sum of the first two cards is 9, 10 or 11.
  • Split, buy or stay, if the first two cards have the same value.

All these decisions depend upon the dealers first card, making a total of 200. There are some fundamental rules, which never change and must always be obeyed:

  • Alway buy if the score is below 12.
  • Always buy if the score is below or equal to 7/17. With a soft hand You can't bust, so there is no reason to stay if the score is 17 or less.
  • Never buy if the score is 17 or higher.
  • Never split 5-5. A score of 10 is a good point to start with, so use it.
  • Never split X-X. A score of 20 is too good, to take any further risks.
  • Never ever double a Blackjack.

For other decisions consult the expectation and probability tables computed on the Blackjack strategy pages.

Stakes height

The stake has to be placed before the player can see the dealers first card. So during that decision, very little information is available. The only information the player here, is the total expectation for the current card distribution in the shoe. If this is above zero, he shall place high bets.

By: Harper Whitefield

Blackjack is an extremely popular casino game, and one that offers lots of strategies and tips to help the player overcome the house edge; as much as possible anyway. Below, we've documented the Top 10 Blackjack Tips to help you improve your game.

Blackjack Tips #1: When To Hit

Use the following rules to determine when to Hit, according to your hand and the dealer's face up card.

-If the dealer's face up card is 7, 8, 9, 10 or Ace, and your hand totals 8 or 12 through 16, Hit.
-If the dealer's face up card is Ace, and your hand totals 11, do not Double, Hit.
-If the dealer's face up card is 10, and your hand totals 10, do not Double, Hit.
-If the dealer's face up card is 7, 8 or 9, and your hand totals 9, do not Double, Hit.

Blackjack Tips #2: When To Stand

Use the following rules to determine when to Stand, according to your hand and the dealer's face up card. Luckyland slots reddit.

-When your hand totals 17 or above, no matter what, Stand. (Some strategies will tell you to hit 17 if the dealer has an Ace.)
-If the dealer's face up card is 6 or below, and your hand totals 13 or above, Stand.
-If you have a splitable pair of 10s or Face Cards, do not Split them, Stand.

Blackjack Tips #3: When To Split

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Use the following rules to determine when to Split your hand, according to value of your pair and the dealer's face up card.

-Only Split 2s and 3s if the dealer's card is 4-7
-Never Split 5s; either Double Down, or Hit if the dealer is showing a 10 or Ace.
-Split 6s and 7s if the dealers card is 6 or below.
-Always split 8s, no matter what.
-Always Split Aces if allowed.

Blackjack Tips #4: When To Double

Doubling is a strategy often used when the player's hand equal 9, 10 or 11, giving the player a good chance of hitting 19-20 with a 10 or Face card. Use the following rules to determine when to Double your hand, according to your total and the dealer's face up card.

-Always double a total of 10 unless the dealer has 10 or Ace.
-Always double an 11 unless the dealer has an Ace.
-9 should only be doubled when the dealer has 3, 4, 5 or 6 showing.

Blackjack Tips #5: When in Doubt, Use a Strategy Chart

Blackjack Strategy Charts are designed to tell a player exactly how to act in every possible situation. Some players do not like blackjack Strategy Charts because they remove the element of decision making, but consider this.. Casinos get the upper hand because the dealer cannot make decisions. The dealer must follow strict rules based on probabilities when playing their hand. If the player uses the same strategy, he is effectively decreasing the house edge to a minimum.

Blackjack Tips #6: Game Selection, Know The Rules

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There are many more variations of Blackjack than the classic version we all know and love. Each has a slight difference in the rules, and some even have optional side bets and progressive jackpots. When choosing to play a new variation of blackjack, such as Perfect Pairs, Super 21 or Progressive Blackjack, be sure to know all of the rules and payouts involved.

Blackjack Tips #7: Card Counting

Blackjack Card Counting is an age-old strategy used by many professional blackjack players. It is not that hard to learn, and can be very effective in minimizing losses and maximizing profits. It is recommended to get a good deal of practice in card counting before applying the strategy at a live casino so that the extensive security staff does not discover you are doing it. Card counting is not illegal by any means, but it may get you promptly, if not permanently, removed from the casino if caught. Note that card counting is not a viable online casino blackjack strategy. Online casino software re-shuffles the deck with each new hand.

Blackjack Tips #8: Play Online, It's Cheaper

Aside from the omission of card counting, playing online blackjack has many benefits. For one, you can put all of the money you intended to spend towards your bankroll. You won't have to gas up the car, purchase airline tickets or book a hotel (if no local casino). When you win, you won't have the obligatory 'tipping the dealer' to reduce your profits. All in all, it just makes sense to stay home, eat your own food, drink your own drinks and spend a lot less money by playing blackjack online.

Blackjack Tips #9: Play Online for Bonuses

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Playing online isn't just about convenience. You can actually double or triple your bankroll when you sign up at an online casino. They all offer welcome bonuses, most matching your first deposit 100% to 200% or more, up to a certain amount. Instead of starting with $100 bankroll, made up of your own hard earned cash, why not play online and claim a welcome bonus that could give you're a lot more bankroll for your buck by way of free casino chips?

Blackjack Tips #10: Bet Sizes That Match Your Bankroll

Lastly, we'll go ahead state the obvious. Don't play a blackjack table where the limits do not correspond with your bankroll. If you have $200, don't sit at a blackjack table with a minimum $100 bet. No matter how many blackjack tips and strategies you apply, you'll want to have plenty of opportunities to play hands, with splitting and doubling available, in order to make a sizeable profit. Make sure you will be able to place a minimum of 40 bets with your bankroll before choosing a table.

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