How many possible 5-card hands are there in a standard 52 card deck?
Table of Contents
- 1 How many possible 5-card hands are there in a standard 52 card deck?
- 2 What is the probability of getting 3 of a kind in a 5-card hand?
- 3 What is the probability that a five-card poker hand contains a flush?
- 4 What is a 5 card poker hand?
- 5 What is the probability of being dealt 3 Kings?
- 6 What is the probability that a five-card poker hand contains all the four aces?
- 7 What is the probability of getting a 5 hand card that only contains cards from the same suit?
- 8 What is the probability of being dealt 5 cards of the same suit?
How many possible 5-card hands are there in a standard 52 card deck?
2,598,960
Probability of a Full House First, count the number of five-card hands that can be dealt from a standard deck of 52 cards. We did this in the previous section, and found that there are 2,598,960 distinct poker hands.
What is the probability of getting 3 of a kind in a 5-card 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\% |
What is the probability that a five-card poker hand contains one ace?
This probability is (485)(525), for we have 48 choose 5 possible hands with no aces. Then the solution to the problem – that is, the probability of at least one ace appearing in a 5-card hand – is one minus the complement: 1−(485)(525).
What is the probability that a five-card poker hand contains a flush?
approximately 0.00198079
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). The probability is approximately 0.00198079.
What is a 5 card poker hand?
A straight flush is a hand that contains five cards of sequential rank, all of the same suit, such as Q♥ J♥ 10♥ 9♥ 8♥ (a “queen-high straight flush”). It ranks below five of a kind and above four of a kind.
How many ways are there of being dealt If 5 card hand out of a standard 52 card deck if no queens?
2598960 different ways
= 2598960 different ways to choose 5 cards from the available 52 cards.
What is the probability of being dealt 3 Kings?
The results show that the chances of getting exactly 3 kings is 1.79\%.
What is the probability that a five-card poker hand contains all the four aces?
If you have a standard deck of 52 cards, what is the probability that out of a hand of 5 cards you get 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 probability that these cards contain exactly one ace?
Drawing exactly one ace from a single draw is 4/52 but to ensure that only a single ace was drawn one should consider the probability of not getting a second ace.
What is the probability of getting a 5 hand card that only contains cards from the same suit?
0.0000153908
All 5 cards are from the same suit and they form a straight (they may also be a royal flush). The number of such hands is 4*10, and the probability is 0.0000153908.
What is the probability of being dealt 5 cards of the same suit?
Probability of getting a hand that has 5 cards of the same suit (flush, straight flush, royal flush) =51482598960≅. 00198 .