How many 5 card poker hands having 3 Aces and 2 Kings are possible?

24 5-

How many ways can you be dealt a poker hand consisting of 3 Aces and 2 Kings?

= (52*51*50*49*48)/(5*4*3*2*1) = (52*51*10*49*2) = 2,598,960.

How many 5 card hands that contain exactly 2 Aces and 3 Kings can be chosen from a 52 card deck there are 4 Aces and 4 Kings in the deck?

Explanation: There are 6 choices for the 2 Aces based on 4 suits in a standard deck: Clubs, Hearts, Diamonds, Spades. For each of these choices there are 4 choices for the 3 Kings (basically one choice for each suit not included). This gives a combination of 6×4=24 possible hands.

What is the probability that we draw 3 Aces and 2 Kings?

3! 2! =10 ways to order “AAAKK” so the probability of “3 aces and 2 kings” drawn from a 54 card deck is 10(4/54)(3/53)(2/52)(4/51)(3/50).

What is the probability of getting 3 aces?

(4/52 * 3/51 * 2/50) is the probability of getting the 3 aces.

How many 7 card hands will consist of exactly 3 Kings and 2 Queens?

Hence, there are: (43)(43)(447) ways to get 3 Kings, 3 Queens, and 7 Others.

How many 3 card hands can a 52-card deck have?

Question 708701: How many different 3 card hands can be drawn from a standard deck of 52 playing cards? 52*51*50=132,600 ANS.

How many different hands containing 4 Kings are possible?

Assuming a fair, well-shuffled deck, a standard 52-card deck with no jokers, we can calculate this as follows. There are 5 ways a hand can contain 4 kings, because that means there is one card in the hand that is not a king. The non-king can be the first card, or the second, …, or the fifth.

How many different 4 card hands are possible?

We determine the number of 4-card poker hands. In forming a 4-of-a-kind hand, there are 13 choices for the rank and only 1 choice for the 4 cards of the given rank. This implies there are precisely 13 4-of-a-kind hands….Abstract:

hand number Probability
pair 82,368 .3042
high card 177,408 .6553

Can 4 cards make a straight?

A four card straight is a straight, a four card flush is a flush, and a four card straight flush is a straight flush. Unlike the player, the dealer receives six cards to make their best 4-card poker hand.

How big is 52 factorial?

52! is approximately 8.0658e67. For an exact representation, view a factorial table or try a “new-school” calculator, one that understands long integers.

What percentage of 4 card hands contain three cards of the same kind?

The probability is thus 2496/270725 = . 00922 or about 0.92%.

2,598,960

How many different 2 card hands are possible?

Essentials. There are 1326 distinct possible combinations of two hole cards from a standard 52-card deck in hold ’em, but since suits have no relative value in this poker variant, many of these hands are identical in value before the flop.

1287 possible

What is the probability of getting a full house in a 5 card poker hand?

Frequency of 5-card poker hands

Hand Distinct hands Cumulative probability
Full house 156 0.17%
Flush (excluding royal flush and straight flush) 1,277 0.367%
Straight (excluding royal flush and straight flush) 10 0.76%
Three of a kind 858 2.87%

How many was can you draw a 5 card hand from a standard 52 card deck all of the same suit ie a flush )?

How many 5 card hand dealt from a standard deck of 52 playing cards contain exactly the same suit? – Quora. If you want the probability of getting five cards of the same suit, i.e. a natural flush, it would be 13C5 * (4! / 3!) / 52C5 = 5148 / 2,598,960 = . 00198… or about 1 in 505.

How many possible 5 card poker hands are there the order of the cards doesn’t matter?

the number of ways of choosing an unordered set of 5 cards from a 52-card deck. Your 52! 47! is the number of ways to deal 5 cards: it counts each of the 5! =120 possible dealing orders of a given hand separately.

How many 7 card hands can a 13 card deck have?

There are 40 possibilities for the thirteenth card (because it can be anything except the ♦7, ♠K, ♣4, or any of the nine other cards already dealt). That means that the number of possible hands is 52×51×50×···×42×41×40 = 3954242643911239680000.

How many ways can you get a 4 aces hand in poker?

1 way

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