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There are 2 ways to get blackjack...

You can be dealt an ace first:

4/52 are Aces, then 16 out of the remaining 51 cards are 10, J, Q or K

4/52 X 16/51 = .0241

Or you can be dealt a face card first:

16/52 are face cards, then 4 out of the remaining 51 cards are Aces

16/52 X 4/51 = .0241

So your answer is .0241 + .0241 = .0482 or 4.82%

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Q: What are the odds of drawing a Blackjack?
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What are the odds of winning in blackjack?

1.0 %


What are the odds against drawing a jack from a standard deck of 52 cards?

The odds against it are 12/13. The odds of drawing one are 4 in 52 or 1 in 13.


What is the odds of being dealt three sevens from a six deck shoe when playing blackjack?

It is 0.000404


What are the odds of hitting 2 straits in a row at 5 card stud?

The odds of hitting 2 straights in a row at 5 card stud is about 5%. Since the deck is reshuffled between deals, the two hands are sequentially unrelated, so the odds of two deals with two straights is simply th odds of one times the odds of another. In order to draw a straight, you need to draw an ace, 2, 3, 4, 5, or a 10, jack, queen, king, ace, assuming that ace can be high or low. The odds of drawing one of these cards is 10 in 13, but you have 5 chances to do so, so the odds of drawing the first card is 50 in 13. The odds of drawing the second card is 39 in 51, but you have 4 chances to do so, so the odds of drawing the second card is 156 in 51. Similarly, the odds of drawing the third, fourth, and fifith card is 38 in 50, 37 in 49, and 36 in 48. Multiply these odds and you get 19,740,240 in 77,968,800. Reducing that to lowest terms, you get 246,753 in 1,112,110, which is the odds of drawing a straight. The numeric value of the odds is 0.22187823146990855221156180593646, or about 22% Square that and you get 60,887,043,009 in 1,236,788,652,100. That is aready in lowest terms, so that is the odds of drawing two sequential straights. The numeric value of the odds is 0.049229949600214317813758989938262, or about 5%.


What is the probability of picking an ace and a king from a pack of playing cards?

The absolute probability is even, given one draw. However, statistically, the chance of drawing an ace and a king as two cards at random is 1: 81.25Chance of drawing first card is either an ace or a king is 8: 52 (1 in 6.5).Now the remaining other card (ace or king) is 4 in 51 (1 in 12.5)*In Blackjack, the drawing of any face card or 10 improves the odds of a natural blackjack using only one deck to 1: 20.8 but the show used holds more than one deck.