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. The goal of the game is to reach a score (=sum of the cards) as high as possible but not more than 21.
A score with an ace valued as 11 is named soft-hand. 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. The player now can continue to , which means that each of the cards are used to start with a separate bet.
If the players combination is Blackjack, the play-off is 3:2 of the initial stake. For each split hand, an additional bet equal to the first is required.
If the sum of the dealer is higher, the player loses his bet. If the player holds a score of 22 or more, he busted and thus he loses his bet immediately. 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.
If the dealer busts, the players wins independently of his final score. Once the last player has decided to with his score, the dealer starts to draw a second card.
Blackjack can be played from one to seven players against one dealer. 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. This is the basic knowledge You have: The dealer can not split nor double; he must play according to strict rules: . 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. 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 = 7.4% and so on.