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The chance of a Blackjack appearing for any player OR the dealer is slightly different depending solely upon how many decks are used.

The approximately correct answer in all cases though is odds of 20-1

That is to say, that one out of every 21 hands is a Blackjack.

Ergo, the probability of the occurrence is approx. 4.8%

The question asked is "What is the probability of the Dealer not getting a blackjack."

Therefore, the correct answer is 100% - 4.8% = 95.2%

If you consider that there is 1 Ace per suit, and 4 tens per suit, then the correct answer is (1/13 * 4/13) = 4/169 or a 2.367% chance that the dealer will get blackjack.

The chance that with an Ace showing that the dealer has a 10 under the Ace, is 4/13 or 30.769%.

With a 10 showing, the chance the dealer has an Ace below the 10 is 1/13 or 7.692%.


The reason you aren't supposed to take insurance, is because of the 30% chance to have it. However if the deck is +6, then even a professional card counter will take insurance.

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Continue Learning about Statistics

What is the probability of winning at Blackjack?

You cant win


What is the probability that the player will beat the dealer in blackjack?

If you mean, on a specific RANDOM hand, there is, depending on the precise rules, approx. a 43% chance of winning the hand, a 9% chance of a tie, and and a 48% chance of losing the hand.


How do you hit?

You should ask the dealer what the proper indication is. Usually the desire to be hit in Blackjack is indicated by bending a finger towards you, in a "come here" sign, or by pointing down at the cards, but this could be confused with the stay command which is usually a flat open hand over the cards. Go with my first recommendation and ask the dealer.


What does it mean to find the compliment of the probability of an event?

The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.


Is 1.001 a probability?

No 1.001 is not a probability. Probability can not be >1

Related Questions

If you get blackjack do you imediatley have to tell the dealer?

No, the dealer will tell you that you have blackjack. It's that simple.


What does the dealer stay on in blackjack?

In blackjack, the dealer must stay on a total of 17 or higher.


When does the dealer stay in blackjack?

In blackjack, the dealer stays when their hand totals 17 or higher.


When playing blackjack, what action does the dealer take if the blackjack dealer hits a soft 17?

If the blackjack dealer hits a soft 17, they must draw another card.


When does a dealer hit in blackjack?

In blackjack, a dealer hits when their hand totals 16 or less and stands on 17 or higher.


When does the dealer hit in blackjack?

In blackjack, the dealer hits when their hand totals 16 or less and stands on 17 or higher.


When does the dealer stop hitting in blackjack?

In blackjack, the dealer stops hitting when their hand reaches a total of 17 or higher.


What is the probability of winning at Blackjack?

You cant win


What are the specific rules regarding the dealer's actions when they have an ace in a game of blackjack?

In blackjack, when the dealer has an ace, they must check if they have a blackjack (a total of 21 with their first two cards). If the dealer has a blackjack, the game ends and players lose unless they also have a blackjack. If the dealer does not have a blackjack, they must continue playing according to specific rules set by the casino, such as hitting or standing based on their total card value.


Does a blackjack dealer have to hit on a soft 17?

Yes, in most casinos, a blackjack dealer must hit on a soft 17.


Does the blackjack dealer have to hit on a soft 17?

Yes, in most casinos, the blackjack dealer must hit on a soft 17.


How many cards does the dealer typically receive in a game of blackjack?

In a game of blackjack, the dealer typically receives two cards.