How many 13 card hands having exactly 11 cards from any suit can be dealt?

So the number of 13-card hands with exactly 11 diamonds is . To get the probability of being dealt a 13-card hand with 11 diamonds, we just need to divide this number by the total number of 13-card hands. This is , about billion 13-card hands.

How many possible 13 card hands are there?

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 are there to choose a hand of 13 cards from a standard deck of 52 in such a way that the hand contains at least one jack one queen one king and one ace?

This means ’52 choose 13′ or the number of possible 13 card hands from a standard deck, about 635 billion. Let’s start with the answering the number of ways to get three voids.

How many different 5 card hands can be dealt from a deck of 52 cards if the hand consists of exactly 2 aces?

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.

How many different 13 card bridge hands are there that contain all four aces?

b) If we know that all 4 aces are part of the 13 cards, then we are really only choosing 9 cards out of 48. We are choosing 4 of the 4 aces, and then there are 48 remaining cards, from which we are choosing 9. So, the answer is (44)(489).

How many ways are there to deal hands from a standard playing deck to four players of each player gets exactly 13 cards?

The entire deck of 52 cards is dealt evenly among these 4 players, so each gets 13 cards. How many different ways are there to allocate the four 13-card hands to the four players? (That is, how many possible bridge hands are there?) 52!

How many ways can 13 cards be shuffled?

6 billion possibilities
If you have thirteen cards to shuffle, then there are thirteen possible cards you could put down first. You then have the remaining twelve cards as options for the second one, eleven for the next, and so on – giving just over 6 billion possibilities for arranging a mere thirteen cards.

How many ways can 13 cards be selected from a pack of 52 playing cards?

(ie divide by 13*12*11*10….. *3*2*1). 13! evaluates to 6,227,020,800 and therefore the total number of ways of selecting 13 cards from 52 is about 6.35*10^11 or 635 billion.

How many Diamond cards are in a deck?

There are 52 cards in a standard deck of playing cards. So, there are 13 diamonds in a standard deck of playing cards.

How many 5 card hands contain exactly 3 aces?

If you want to find the number of possible five-card hands with exactly three aces, there are 4 choose 3 ways of holding 3 aces with 48 choose 2 ways to select the remaining 2 cards for the hand (the final ace is not available as a remaining card in the deck), leaving us with only 48 cards instead of 49 to choose from …

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

Hence, there are: ( 4 3 ) ( 4 3 ) ( 44 7 ) ways to get 3 Kings, 3 Queens, and 7 Others.

What is the probability that a 13 card bridge hand contains one ace?

There is a 44\% chance of getting exactly one ace.