The probability of drawing 2 sixes from a deck of 52 cards is (4 in 52) times (3 in 51) which is (12 in 2652) or (1 in 221) or about 0.004525.
The probability of drawing 3 sixes from a deck of 52 cards is (4 in 52) times (3 in 51) times (2 in 50) which is (24 in 132600) or (1 in 5525) or about 0.0001810.
There are four 9's and four jacks. If you can use all of them, you can use 8 out of 52 cards. The probability of drawing one of these cards is therefore 8/52 = 0.1538 or a 15.38 % chance.
If you are drawing only two cards, the probability that they will both be aces is one in 221. ( (52 / 4) * (51 / 3) ) If you are drawing all the cards in the deck, one at a time, the probability that you will draw at least two aces in a row is much better than that, but how much better I leave for someone else to answer.
The probability of drawing a king on the first draw is 4/52 = 1/13. The probability that the next card is one of the 3 remaining kings is 3/51 = 1/17. The probability of both events is (1/13)*(1/17) = 1/221
The probability of drawing 3 cards, all with the value of 9, from a standard 52 card deck, is ~0.018%.
The probability of drawing 2 sixes from a deck of 52 cards is (4 in 52) times (3 in 51) which is (12 in 2652) or (1 in 221) or about 0.004525.
The probability of drawing 3 sixes from a deck of 52 cards is (4 in 52) times (3 in 51) times (2 in 50) which is (24 in 132600) or (1 in 5525) or about 0.0001810.
There are four 9's and four jacks. If you can use all of them, you can use 8 out of 52 cards. The probability of drawing one of these cards is therefore 8/52 = 0.1538 or a 15.38 % chance.
Assuming a standard deck of 52 cards with aces counting as 1 and all face cards counting as 10, there are: 16 ways of drawing an ace and an 8, 16 ways of drawing a 2 and a 7 16 ways of drawing a 3 and a 6 16 ways of drawing a 4 and a 5, for a total of 64 ways to draw 2 cards whose sum is 9. There are 52!/(50!2!) = 1,326 ways to draw two cards, so the probability is 64/1326 = 0.048, or about 1 in 21.
If you are drawing only two cards, the probability that they will both be aces is one in 221. ( (52 / 4) * (51 / 3) ) If you are drawing all the cards in the deck, one at a time, the probability that you will draw at least two aces in a row is much better than that, but how much better I leave for someone else to answer.
4/52 X 3/51 x 2/50.
The probability of drawing a king on the first draw is 4/52 = 1/13. The probability that the next card is one of the 3 remaining kings is 3/51 = 1/17. The probability of both events is (1/13)*(1/17) = 1/221
The probability of drawing three queens from a deck of cards is (4 in 52) times (3 in 51) times (2 in 50), or 24 in 132,600 or 1 in 5,525.
The probability of five cards being four cards from one suit and one card from another suit is the same as the probability of drawing four cards from one suit multiplied by the probability of drawing one card from another suit, multiplied by 5 (for each of the possible positions this other card can be drawn in). The probability of drawing four cards from one suit is 12/51 x 11/50 x 10/49. The probability of drawing a fifth card from another suit is 39/48. All these numbers multiplied together (and multiplied by 5) come to 0.0429. So the probability of drawing a hand of five cards with four cards from one suit and one card from another is 5.29%
Given that it is a king, the probability that it is a face card is 100%. All Kings are face cards.
The probability of drawing three diamonds from a standard deck of 52 cards is (13 in 52) times (12 in 51) times (11 in 50), or 1716 in 132600, or about 0.01294.