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