How many five card poker hands consisting of three kings and two tens are possible?

10 possible 5 2 Answers. There are 10 possible 5 -card hands with exactly 3 kings and exactly 2 aces.

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And another question, what is the probability that all 5 cards have the same suit?

We have to choose 5 distinct kinds (13-choose-5) but exclude any straights (subtract 10). We can have any pattern of suits except the 4 patterns where all 5 cards have the same suit: 4^5-4. The total number of such hands is [(13-choose-5)-10]* (4^5-4). The probability is 0.501177. How many different 5 card hands which include 4 aces? Then the # of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards). So there is 1 chance in (2,598,960/48) = 54,145 of being dealt 4 aces in a 5 card hand.

What is the number of ways of choosing 5 cards?

Required number of 5 card combination = 4c1x48c4 = 778320. In respect to this, how many five-card hands drawn from a standard deck contain exactly three clubs? Similarly there are (13C3)x(39C1 )=286x39=11,154 hands containing exactly three clubs.

How many 5 card hands have 3 hearts and 2 spades?

There are only 7,462 distinct values a five-card poker hand can have. If there are no community cards, then there are only 6,331 distinct hands.