Interesting

What is the probability of getting a heart in a deck of 52 cards?

What is the probability of getting a heart in a deck of 52 cards?

So we know that in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52.

What is the probability of getting both a pair and a three of a kind in a game of 5 card poker?

Frequency of 5-card poker hands

Hand Distinct hands Probability
Flush (excluding royal flush and straight flush) 1,277 0.1965\%
Straight (excluding royal flush and straight flush) 10 0.3925\%
Three of a kind 858 2.1128\%
Two pair 858 4.7539\%

What cards are in a deck of 52?

A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.

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What is the probability of being dealt a pair?

According to Wikipedia, the probability of being dealt any pocket pair as the starting hand is ~6\% (78/1326=0.0588), but yet the probability of facing another player holding a larger pair when holding a pocket pair yourself in pre-flop is significantly high especially when you’re playing with 6 or more players.

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.

How many hands are there for a straight flush in poker?

There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush.

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How many cards are there in a deck of cards?

In a standard deck of cards, there are 4 possible suits (clubs, diamonds, hearts, spades),and 13 possible values (2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace). Let A, J, Q, Krepresent Ace, Jack, Queen and King, respectively. Every card has a suit and value, and everycombination is possible. Hence a standard deck contains 13·4 = 52 cards.

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.