# How many five card hands from a standard deck of cards are all of the same suit?

## How many five card hands from a standard deck of cards are all of the same suit?

There are 2,598,960 different combinations of five card poker hands. That is 52*51*50*49*48 divided by 5*4*3*2. Four of those combinations are Royal Flushes. 10,JQKA all of the same suit.

How many ranks are in a deck of cards?

13 ranks
International deck The most successful and universally recognized deck of cards is that based on a complement of 52, divided into four suits, each containing 13 ranks, so that each card is uniquely identifiable by suit and rank.

How many ranks are in a deck of 52 cards?

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠), with reversible (double-headed) court cards (face cards).

### How many 6s are in a deck of cards?

A “standard” deck of playing cards consists of 52 Cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

What is the rank of a card?

There are 52 cards in the pack, and the ranking of the individual cards, from high to low, is ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3, 2. There is no ranking between the suits – so for example the king of hearts and the king of spades are equal.

use the following order: spades (lowest), clubs, diamonds and hearts (highest).

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## How many 5-card poker hands can be drawn from a deck?

The only difference is the order in which the cards are dealt. These are the same hand. Order is not important. The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.

What is the probability of all 5 cards from the same suit?

The probability is 0.003940. IF YOU MEAN TO EXCLUDE STRAIGHT FLUSHES AND ROYAL FLUSHES (SEE BELOW), the number of such hands is 10*[4-choose-1]^5 – 36 – 4 = 10200, with probability 0.00392465 A FLUSH Here all 5 cards are from the same suit (they may also be a straight). The number of such hands is (4-choose-1)* (13-choose-5).

How many 5-card hands with 5 cards in sequence?

There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is. Then we need to subtract the number of straight flushes (40) from this number.

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### How many hands are there with all cards in the same suit?

There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush.