All Questions
Tagged with card-games poker
45
questions
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In Texas Holdem what is the probability that the best hand is on the table?
The brute force method would involve calculating the probability of a royal flush on the table (i.e., the five community cards are A, K, Q, J, T suited). Follow this by calculating the probability ...
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0
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48
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Combinatorics Pigeon Hole Poker Game
Suppose I shuffle a standard 52 card deck deck and give you 25 cards at random from it. You are then tasked with making 5 poker hands from these cards such that each card is in exactly one hand. The ...
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2
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4
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227
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Each of A, B, and C draw a card without replacement from a 52-card deck. What is the probability that A's face value is higher than the rest?
Case 1: All three cards have equal face values. There are 13 such cases since there are 13 different ranks.
Case 2: Two cards have equal face value and the third card has a lower value. Initially, I ...
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1
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1
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50
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In this simple playing card game, is the expected probability constant?
I came up with a simple game using a standard 52-card deck. This is a 1-on-1 game involving a player and a dealer.
The rules are as follows.
Player makes a bet.
One card is dealt to the player.
One ...
- 11
3
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57
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Why is an online poker article claiming that Straights happen more often than Three of a Kinds in a short deck?
Six Plus Hold'em is a variant of Texas Hold'em in which a short deck is used. A short deck is a deck in which all cards from 2 to 5 are removed from a standard 52-card deck, leaving only 36 cards. Due ...
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3
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1
answer
255
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What are the odds of getting 3 pair in texas holdem?
I'm looking to create a variant of holdem allowing 6 and 7 card hands in special situations. Namely, 3 pair, 2 set, and quads over set (a full mansion).
My probability skills are rusty, but I'm still ...
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2
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1
answer
161
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How to rank a new type of Hold 'Em Poker hand (hard)
I am trying to figure out how to rank a new type of poker hand, henceforth called a 'Block'.
A Block consists of 6 cards, and so is not possible in regular Poker - only Hold'em.
Each Block consists of ...
- 23
3
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1
answer
190
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Has the game of texas hold em poker been beaten?
I am no mathematician, I guess this is obvious. I hope this question is appropriate.
So, I know that in poker the opponents psychology matter, but imagine that you are playing against a perfectly ...
- 133
3
votes
1
answer
197
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Probability of having n number of cards of the same kind from drawn N cards
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
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49
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Which card should we change (and to what card) to maximize the probability of getting two pairs?
In a standard $52$-card deck we change 8♧ with 10♤ and 9♧ with J♤ from another deck of cards. If we change another card, which card should we change (and to what card) to maximize the probability of ...
- 33
5
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1
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224
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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
6
votes
1
answer
631
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Why is the probability of getting a pair in a five-card poker hand so complicated?
The working-out of this question has really confused me. I know the basics of probability but I don't get the calculations here. I think 13C2 * 4C2 determines the number of possible pairs, and the ...
- 71
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2
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392
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Combinatorics involving a poker hand
How many 5 card poker hands can be dealt from a standard deck of 52 cards with 3 hearts and 2 diamonds?
I have tried this but I am not sure if it is correct:
${13\choose3}{13\choose2} = 22308$
- 33
2
votes
2
answers
795
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Expected Value : Poker
You are dealt $4$ cards face down on a table. You know that $2$ are red and $2$ are black. Let’s say you are given $100 to bet on this game and you are able to bet after each card is dealt and before ...
- 43
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41
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Poker Combination problem
A little while ago I made a post on here and this is basically a follow up to it as I ran into some problems.
Basically two people , player A and B, are playing a version of poker where there's 3 ...
2
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1
answer
130
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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 ...
5
votes
2
answers
208
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Numbering system for poker hands
I figure that this is surely either a solved problem or it is provably impossible. But I'm not able to track down an answer.
There are ${52 \choose 5}$ = 2,598,960 distinct ways to deal five cards ...
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1
vote
1
answer
59
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Probability for hand with no sets (3+ of a kind / straight flush of 3+ cards) or potential sets (no additional card can make a set) in a card game?
Problem
In a gin variant, you win immediately if you are dealt a hand with no sets (3+ of a kind or suited run of 3+ cards) and no "potential sets", i.e. no additional card added to the hand could ...
- 453
1
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2
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166
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What's the probability for a 14-card hand to contain at least one full-house?
(This question is related to my previous question: When drawing 14 cards from a set of 52 cards, is it more likely to have a full house or two consecutive pairs?).
Problem: What is the probability ...
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4
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1
answer
162
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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 ...
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1
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114
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Probability of getting a particular card in Poker
Suppose, I am playing a poker match. I have a pair of 5 in hand and see that the there is no 5 in the first 3 drawn cards. What is the probability that there will be at least one 5 in the next two ...
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0
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445
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Game Theory Poker - Nash equilibrium: Choose between bet or raise and range of hands
I would like to understand how we choose the best action and how we compose the range for it.
I have some notion on zero-sum games and minmax strategies.
And I know software that does this for texas ...
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0
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4
answers
285
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Combinatorics with playing cards
I have a question that I can't seem to find the answer to:
What are the odds of pulling 3 cards from a normal deck of playing cards (52 cards, 4 suits, 13 different values) and at least 2 of the ...
- 11
2
votes
1
answer
669
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Calculating combinations of a straight in Texas Hold 'Em
Similarly to a previous question that I've asked, I have now attempted to calculate the amount of all possible seven card combinations that would result in a straight (and nothing better).
The ...
1
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1
answer
590
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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
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1
answer
1k
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Optimal Double Up for Poker Game Reward in DanMachi Memoria Freese
I am trying to figure out the optimal times to double up my poker game reward in the casino in Danmachi Memoria Freese. Here is the details to figure it out.
This poker version uses joker as wild ...
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3
votes
1
answer
154
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7 cards in sequence (suit does not matter)
Problem: Pick 7 cards from the regular 52 English cards deck, were they must be in order and suits don't matter (aces can loop).
As stated here for this similar problem, I suppose the answer would be ...
- 31
0
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1
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129
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Combinatorics question: Suppose you play a game of cards in which only 5 cards are dealt from a standard 52 deck.... [closed]
Suppose you play a game of cards in which only 5 cards are dealt from a standard 52 deck. How many ways are there to obtain at least 3 cards of the same suit?
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9
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3
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1k
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Probability of a Full House for five-card hand.
So I know this can be solved easily by counting the total ways to make a full house and dividing that by the total possible hands, but I want to know why another way I thought of to solve it is wrong.
...
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0
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0
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384
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Game theory problem: Three man poker game
Mine question is from Three-Man Poker Game discussed in Nash's paper.
This is a greatly simplified version of poker. The cards are of only two kinds,
high and low. The three players A, B, and C ante ...
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