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There are 2,598,960 5-card hands.

This is combinatorials, which is used in probability but is not probability itself.

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Q: How many five-card hands are possible in a 52 card deck This is probability?
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If there are 270725 possible 4-card hands?

The number of possible 4-card hands out of a 52 card deck is 270,725.


How many 5 card poker hands contain only Diamonds?

There are 1287 possible 5 card poker hands that contain only diamonds, i.e. a diamond flush.This is 13! / (13-5)! / 5!Since there are 2598960 possible 5 card poker hands, 52! / (52-5)! / 5!, the probability of drawing a diamond flush is 1287 in 2598960, or about 0.0004952.


How many 5 card hands are possible with a 26 card deck?

eleventeen


How many 7 card hands are possible with a 13 card deck?

There are 1716 of them.


When looking at 2 possible events how do you calculate the probability?

are they dependent or independent? define success and failure for the 2 events. probability of success (EX: drawing a face card) = number of possible successes / total possible events. Multiply the two separate probabilities to get the probability that both occur.


How many 5- card hands with 4 queens are possible?

Twelve: the fifth card can be anything but a queen.


How many of the 5 card poker hand possible how many contain at least one card that is not a heart?

There are 2597673 such hands.There are 2597673 such hands.


How do you calculate the probability of a royal flush?

First, we determine the total number of five card hands possible. Since there are 52 cards, we simply pick the first card 52 ways, then the second card 51 ways, then the third card 50 ways, then the fourth card 49 ways, and finally the fifth card 48 ways. This gives a total of 52*51*50*49*48. Since the order that we pick the cards is unimportant, we divide this total by the number of ways of permuting five objects, which is 5! = 120. So, the total becomes 52*51*50*49*48/120 = 2598960. Note this is just (52 choose 5). Now that we know the number of possible hands, we simply divide the number of royal flushes (4) by the above 2598960: 4/2598960 = 0.000001539, the probability of getting a royal flush in the first 5 cards off the deck. Of course, depending on the type of poker being played, the probability will differ from this value. Omaha has a higher probability than Texas Hold'em, which has a higher probability than calculated above. Wild cards can drastically change the probability. If every card in the deck is wild, then the probability is 1 (if 5 of a kind isn't allowed) or 0 (if 5 of a kind is allowed).


How many 7 card hands are possible with a 13 cards deck?

If the cards are all different then there are 13C7 = 1716 different hands.


What is the probability of not geeting a queen in a well shuffled deck of 52 playing cards?

If only one card is selected the probability is 12/13.If only one card is selected the probability is 12/13.If only one card is selected the probability is 12/13.If only one card is selected the probability is 12/13.


How many 3 card hands are possible from a standard deck of 52 cards?

This is a permutation, which is from 52 select 3, or52P3, or 132600. The other way to think of this is you have 52 choices for the first card, 51 choices for the second card, and 50 choices for the third card. Therefore you have 52*51*50 possible hands or 132600.


If you draw a card from a standard deck of cards what is the probability of drawing a red card or a face card?

The probability of drawing a red card is 1/2 (26/52).The probability of drawing a face card is 3/13 (12/52).The probability of drawing a red face card is 3/26 (6/52).The probability of drawing a red card or a face card is 8/13 (32/52).2 out of 52or 1 out of 26.