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Blackjack Strategy Charts - How to Play Perfect Blackjack

A pair of 4’s splits against dealer 5 and 6, otherwise hit. A pair of 3’s splits against dealer 2 through 7, otherwise hit. A pair of 2’s splits against dealer 2 through 7, otherwise hit. Soft totals: A soft total is any hand that has an Ace as one of the first two cards, the ace counts as 11 to start.

Blackjack combinations - YouTube

This shows that combinations can give you the same answer as other methods of approaching the same problem.

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Blackjack Mathematics: Probability, Odds, Strategies, Systems

We calculate first all combinations of 52 elements taken 2 at a time: C (52, 2) = (52 * 51) / 2 = 1326. We combine now each of the 4 Aces with each of the 16 ten-valued cards: 4 * 16 = 64. The probability to get a blackjack (natural): 64 / 1326 = .0483 = 4.83% . 2) Let's do now the calculations for arrangements.

The mathematics of blackjack: Probabilities

The total number of possible combinations for each of the two cards is C (52, 2) = 1326, for the 1-deck game and C (104, 2)=5356 for the 2-deck game. Probability of obtaining a natural blackjack is P = 8/663 = 1.20663% in the case of a 1-deck game and P = 16/1339 = 1.19492% in the case of a 2-deck game.

Blackjack - Probability - Wizard of Odds

The probability of a blackjack in a single deck game is 4*16/combin (52,2) = 64/1326. So the probability of four in a row is (64/1326) 4 = 16777216/ 3091534492176 = 1 in 184270. However the actual probability is much less, because as the player gets each blackjack the ratio of aces to cards left in the deck decreases.

Blackjack Combinations - Image Results

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how many different ways to hit 21 - Blackjack Forum, the ...

9,9,3: 3 combinations (993, 939, and 993) 9,8,4: 6 combinations (984, 948, 894, 849, 489, and 498) 9,7,5: 6 combinations. 9,6,6: 3 combinations. 8,8,5: 3 combinations. 8,7,6: 6 combinations. 7,7,7: 1 combination. Total number of combinations is 28. Better yet, how many different combinations can make 21 using every possible combination of all 4 suits or less (2 cards is the least), with 52 cards to make 21?

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