Questions tagged [poker]
Poker is a card game with several variants (Draw, Texas Hold'em, ...), the common goal being to collect face value patterns such as "four of a kind", "full house" or "straight" or all of a suit ("flush") with five cards. Questions about combinatorics, probabilities, strategies (bluffing and betting).
23
questions
23
votes
6
answers
53k
views
Probability of getting two pair in poker
I was looking at this website http://www.cwu.edu/~glasbys/POKER.HTM and I read the explanation for how to calculate the probability of getting a full house. To me, the logic basically looked like you ...
- 419
3
votes
2
answers
1k
views
What is the probability that a five-card poker hand contains all 4 suits?
I know that my answer is wrong but I don't know why it is wrong.
What is the probability that a five-card poker hand contains all 4 suits?
What I did was I this:
$$\frac{C(4,1)\,C(13,1)\,C(3,1)\,C(...
- 31
5
votes
1
answer
10k
views
Ways of getting three of a kind in a 52 card deck
This question has probably been asked before, but just to be clear here, I am NOT asking for the answer, I know the answer. What i want to know is why my solution is not equivalent to the actual ...
- 359
2
votes
3
answers
3k
views
What is the probability of of drawing at least 1 queen, 2 kings and 3 aces in a 9 card draw of a standard 52 card deck?
The title problem is just one specific example of a more generalized problem that I'm trying to solve. I'm trying to write an efficient algorithm for calculating the probability of at least k ...
- 43
1
vote
1
answer
69
views
Poker probability question - multiple players
I'd like to ask for help with a task that I've been given.
The task goes like this: In a poker game (52 cards), 5 players are given 5 cards each. What is the probability that both the first and the ...
- 13
1
vote
2
answers
19k
views
Probability of drawing a flush from a standard deck of cards
The following is the problem put to me:
A 5-card poker hand is dealt from a well shuffled regular 52-card playing card deck. Find the probability that the hand is a Flush (5 nonconsecutive cards each ...
- 363
0
votes
2
answers
722
views
Counting poker hands: full house, straight, $4$ of a kind, straight flush
A deck of cards contains $52$ cards. There are $13$ different kinds of cards, with four cards of each kind. (Among the terms commonly used instead of “kind” are “rank,” “face value,” “denomination,” ...
- 47
6
votes
0
answers
189
views
Probability of drawing an ace or 2 after an ace [closed]
From a standard 52 card deck, we draw one card at a time without replacement. After having drawn the first ace, the game continues until either
We draw another ace, or
We draw a 2,
and the game then ...
- 87
5
votes
1
answer
159
views
Probability of poker pair - what's wrong with this?
Thanks to others here, I know the correct way to calculate the probability of one pair in 5-card poker is
P(one pair) = $C(13, 1) * C(4, 2) * C(12, 3) * [C(4, 1)]^3 / C(52, 5)$ = 0.4225690276...
Why ...
- 53
5
votes
1
answer
211
views
How is calculated the frequency of a pair, a flush of 2 cards, a straight of 2 cards and a straight flush of 2 cards (52 cards, hand of 2, 3, 4, etc)?
Introduction
Before starting, I would like to specify a few things:
The deck has 52 cards. From 1 (Ace) to 10, J, Q, K, all in four different suits: spades, diamonds, club and hearts. I don't add ...
- 110
4
votes
1
answer
157
views
When drawing 14 cards from a set of 52 cards, is it more likely to have a full house or two consecutive pairs?
This is a problem that has been bothering me for quite some time now:
When drawing 14 cards from a set of 52 cards (standard poker deck), is it more likely to have at least one full house or at least ...
- 371
2
votes
1
answer
129
views
Poker - Combination Questions
I'm struggling a bit with this question so any help will be very much appreciated!
The premise is that two people, call them A and B, are playing a variant of poker where there's 3 shared cards, and ...
2
votes
5
answers
328
views
In Texas Hold'em poker, is the ranking according to chance of beating 1 opponent's hand the same as according to beating multiple opponents?
In Texas Hold'em poker, you can rank hands according to the probability of beating one randomly generated opponent's hand. However, no one can compute the exact probabilities of beating $8$ random ...
- 26.1k
1
vote
2
answers
306
views
What is the probability of four of a kind in poker with wild cards?
Below is a problem I made up and did.
Problem:
Suppose that we have a standard poker deck and we add $2$ cards to it. These two cards added
are jokers and are considered wild cards. What is the ...
- 3,976
1
vote
1
answer
54
views
Counting problem for finding the probability of two pairs in a five card hand.
I am having trouble understanding what I have wrong in this stats problem for my hw. I am trying to find the probability of getting two pairs in a 5 card hand from a deck of cards. So first we know ...
- 23
1
vote
1
answer
8k
views
What is the probability of of drawing at least one king and one ace in a five card poker hand?
The title problem is just one specific example of a more generalized problem that I'm trying to solve. I'm trying to write an efficient algorithm for calculating the probability of at least k ...
- 43
1
vote
2
answers
966
views
5 cards in sequence, don't understand answer
Find the probability that a 5 card poker hand will be 5 cards in sequence regardless of suit, consider ace high, not low.
given answer:
\begin{align}
\frac{{9 \choose 1} {4 \choose 1} ^ 5}{52 \...
1
vote
3
answers
1k
views
Poker game full house
I'm dealing with an exercise which deals with the poker game. I need to calculate the probability of getting a full house.
Full house is getting 3 cards of the same type and 2 cards of the same type....
- 315
1
vote
1
answer
391
views
How to compute poker straight
I am trying to understand how we got 10,240 possible straights in the game of poker. Of the formula that have found on http://en.wikipedia.org/wiki/List_of_poker_hands#Straight it is coherent with I ...
Luca
1
vote
1
answer
578
views
Calculating combinations of three of a kind in Texas Hold 'Em
The question sounds quite simple - in a game of Texas Hold'Em (or simply out of ${52 \choose 7}$), how many combinations of cards are there, that would result in three of a kind being the highest hand?...
0
votes
2
answers
214
views
Calculating the number of poker hands that have exactly 4 different denominations
I'm been working through some examples of questions mentioned in the title and came across this one that I wasn't entirely if I was approaching this correctly.
My initial approach to solving this ...
- 159
0
votes
1
answer
97
views
Please vet analysis for wrong way of computing choices for three-of-a-kind.
It is given on page #21 of U.G. book : Combinatorics - A guided Tour, by David Mazur, here an example detailing chances of getting three-of-a-kind in 5 card hands.
The problem statement is :
From a ...
- 4,524
0
votes
1
answer
532
views
Intuition for two pair and one pair in poker dice
I am struggling with a bit of intuition when it comes to poker dice. When finding the probability of two pairs in poker dice I understand there are (5 choose 2) ways to choose which of the 5 dice ...
