How many 5 card hands can be dealt from a standard 52 card deck if that hand has at least two aces?
Table of Contents
- 1 How many 5 card hands can be dealt from a standard 52 card deck if that hand has at least two aces?
- 2 How many 5 card hands from a standard 52-card deck contain exactly 4 aces and exactly 1 club?
- 3 How many ways can a poker hand with five cards be drawn from a standard deck of 52 cards that consists entirely of spades?
- 4 How many different 5-card poker hands are there?
- 5 How many different types of flushes are there in poker?
How many 5 card hands can be dealt from a standard 52 card deck if that hand has at least two 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 5 card poker hands are there?
2,598,960
First, count the number of five-card hands that can be dealt from a standard deck of 52 cards. We did this previously, and found that there are 2,598,960 distinct poker hands.
How many 5 card hands from a standard 52-card deck contain exactly 4 aces and exactly 1 club?
How many 5 card hands from a standard 52-card deck contain exactly 4 aces and exactly 1 club? The answer is 36.
How many ordered 5 card cards can be drawn from a deck of 52 cards without replacement?
Correct answer: The key points we need to remember are that order matters and that we are sampling without replacement. This then becomes a simple permutation problem. We have 52 cards to be chosen 5 at a time, so the answer is 52 * 51 * 50 * 49 * 48.
How many ways can a poker hand with five cards be drawn from a standard deck of 52 cards that consists entirely of spades?
From a deck of 52-playing cards, 5 cards are drawn. How many 5-card hands are there consisting of 3 face cards, 1 king, and 1 spade? Hence, the total number of ways is 896+48=944 ways.
How many hands are there with at most 5 cards?
Hence, there are 40 straight flushes. 4-of-a-kind hands. full houses. choices for 5 cards in the same suit….Abstract:
| hand | number | Probability |
|---|---|---|
| straight flush | 40 | .000015 |
| 4-of-a-kind | 624 | .00024 |
| full house | 3,744 | .00144 |
| flush | 5,108 | .0020 |
How many different 5-card poker hands are there?
In many forms of poker, one is dealt 5 cards from a standard deck of 52 cards. The number of different 5 -card poker hands is. 52C5 = 2,598,960. A wonderful exercise involves having students verify probabilities that appear in books relating to gambling.
Is a poker hand a mathematical combination?
Working backwards, yes, poker hands are mathematical combinations – the order in which the cards are dealt doesn’t actually matter, just the cards that end up in the final hand. If the order did matter, we’d be talking about permutations and the other answers here would be correct.
How many different types of flushes are there in poker?
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. 36 are Straight Flushes ranging from a Straight Flush Wheel A2345, to a King high 9,10,JQK, again all of the same suit.
How many ways can you make a pair in 5 cards?
Six ways to make each rank. You can have a Spade and a Heart, a Spade and a Diamond, a Spade and a Club, a Heart and a Diamond, a Heart and a Club, or a Diamond and a Club. 78 possible pair combinations. The other three cards (kickers) 48*44*40 divided by 6 ,or 14,080. Multiply 78 by 14,080 to get 1,098,240 ways to get just one pair in five cards.