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%
1.0 %
The odds against it are 12/13. The odds of drawing one are 4 in 52 or 1 in 13.
It is 0.000404
In blackjack, the probability of being dealt a blackjack (an ace and a ten-value card) as the initial two cards is approximately 4.75%. This is calculated by considering the combinations of drawing an ace (4 out of 52 cards) and a ten-value card (16 out of 52 cards), taking into account that there are two possible orders for these cards. The odds can vary slightly depending on the specific deck used and the rules of the game, but the figure remains close to this percentage in a standard game with one deck.
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%.
1.0 %
14.2%
The odds against drawing a black 7 is 25 in 26.
You'd win $300... Unless you are dealt a blackjack, in which case you'd receive $450 at 3:2 odds, or $360 with 6:5 odds.
The odds against it are 12/13. The odds of drawing one are 4 in 52 or 1 in 13.
In blackjack, the dealer must stop drawing cards when their hand reaches a total of 17 or higher.
Its a mathematical approach, which goal is to improve ones odds in the game of blackjack.
The odds of drawing a queen is 4 in 52, or 1 in 13. The odds of drawing a heart is 13 in 52, or 1 in 4. The odds, then, of drawing a queen or a heart is (4 + 13 - 1) in 52, or 16 in 52, or 4 in 13. (The reason for subtracting one is to account for the queen of hearts, which is both a queen and a heart.)
It is 0.000404
The odds against drawing a 10 out of a 52 card deck are 12:1.
The odds of not drawing a 6 from a standard deck of 52 cards is 48 in 52, or about 0.9231.
The odds against drawing a six of clubs in a standard deck of 52 cards is 51 in 52, or about 0.9808.