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 ...

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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?

So in 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 opponents' ...
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Poker Hand Probabilities in Doomtown Reloaded

The short version of my question is as follows: What is the best way to compute the probability of different hand ranks after redraw in poker? Can this easily generalise to a non-standard deck? ...
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2answers
43 views

What is the probability that two five card hands have the same pair? [on hold]

Two players both are dealt five cards from a standard well shuffled 52-card deck. a) What is the probability that both hands contain same pair? b) What is the probability that both hands contain same ...
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How do they calculate players' chances of winning in 9-handed Hold 'em or Omaha poker with hidden information?

So Omaha poker is a card game where each player is dealt 4 private cards, and then 5 community cards are dealt in the middle, and each player makes the best possible 5 card poker hand by using 2 cards ...
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24 views

Counting number of two pair hands in poker (not standard)

I was doing number counting problem and wanted to check if my result was correct. Problem description: From a standard deck of cards(52 cards, 4 suits, 13 numbers in each suit) there are 5 cards ...
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36 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 ...
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1answer
41 views

poker probability texas holdem

I get a few percent off from simulation results when I verify these probability calculations, so I am hoping someone spots it. When there is a suited pair on the flop in texas holdem and nine seats ...
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2answers
42 views

Poker blind interest equation

I'm trying to find the equation that will calculate my blinds for me based on number of players and target length of a tournament. I have most of it. I'm only missing one part. Given a starting blind ...
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2answers
58 views

Poker probability question [Texas hold'em]: Do chances to get a certain hand with the flop decrease with number of opponents?

In a basic Texas hold'em game if I had 2 6's I understand what the probability of getting a 6 on the flop is. My question is... I say no matter how many players are in the game that the odds are the ...
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43 views

Poker Return on 100 Hands

Just looking for a bit of validation of a theoretical problem I’ve been working on. It may be completely unoriginal, but take 100 hands of poker. For arguments sake, say the difference between the ...
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1answer
126 views

10-hand card is dealt from a well shuffled deck of 52 cards

A 10-hand card is dealt from a well shuffled deck of 52 cards. What is the probability that the hand contains at least two cards from each of the four suits?
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Probability and Statistics: Bowling Night Poker

Let me build this up a bit. There's five people on my bowling team, including myself. None of us are especially good at bowling; our averages range from about 120 to about 155 (Mine is the 155, ...
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21 views

What is the probability of getting three “top cards” in the same suit and two cards in another suit (but both in the same suit)?

Jack, Queen, King and Ace are the top cards. What is the probability of getting three top cards in the same suit and two cards in another suit (but both in the same suit)? This has stumped me for ...
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35 views

Clarification for this combinations/permutations problem?

I've been going through a list of poker hands and their descriptions, and then attempting to calculate their probabilities by first calculating the number of possible hands for the given hand. I ...
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2answers
102 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 ...
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105 views

Probability of poker cards using combinations, its a poker question [closed]

Choose two cards from a regular 52 card deck, what is the probability of getting atleast one face card from the two card hand drawn? (Without replacement) What is the probability that the first card ...
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1answer
42 views

Probability one pair poker

Which is the probability to obtain one pair in poker? I'm interested in the case when I decide which is the pair. I know the probability for one pair is: $$\frac{C^{4}_{13}\cdot4\cdot ...
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1answer
28 views

Probability of intersection of two events in poker game

Here, can anyone explain in "Pr[A3|A1(Intersection)A2] = 11/50", how do you interpret A(intersection)B here? I mean if A1 is the event that the first card is heart, and A2 is the event that the ...
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2answers
409 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 ...
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1answer
2k 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 ...
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2answers
88 views

Poker hand probabilities

I am very bad at probability problems in math. There is a homework question such that: During a game of poker, you are dealt a five-card hand at random. With the convention that aces may count ...
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1answer
72 views

Texas Hold'em Probability Question

In a game of Texas Hold'Em you are dealt: 4 of hearts and 5 of hearts The flop: 2-club, 6-spade, K-Diamond. Define set S1 as 7-card hands that contain the 5 revealed cards AND contain a straight ...
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37 views

How many possible deals in straight poker.

Each player is dealt 5 cards. 5 players how many deals are possible? I know that for one player there is 2598960 possible outcomes i.e. 52 C 5, I need to know how I can do this for the next four ...
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190 views

Recommended math background for game theory

I recently got interested in some game theory applications to poker. I want to try some of them out programmatically, but a lot of the math is a bit confusing. I learn math on my own fairly quick and ...
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1answer
102 views

Poker, probability of players true raising frequency

The game is texas holdem, you get dealt two cards out of a 52 card deck. Hence there are 1326 possible combinations of two cards you can get. Let's say our opponent has oppened the pot with a raise 5 ...
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486 views

Game Theory: Is there an “unexploitable” strategy in No Limit Holdem?

Do "unexploitable" strategy exist in No Limit Holdem? By this I mean frequency-based mixed strategy that has non-negative expected payoff against any other strategy (let's assume the game is ...
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1answer
57 views

Poker calculations on winrate

Just to learn I'm doing some calculations on my poker results. I'm trying to figure out the probability of given winrate. The available statistics I got in my database are: Hands: $30 000$ ...
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2answers
615 views

What will be the count of “4cardstraight” in a Poker Game

Let's modify the poker hand(fake): "4cardstraight" -- i.e. a straight, but with only 4 cards in a row instead of 5. Rules of the game: A hand is counted as a "4cardstraight" if it includes 4 ...
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3answers
1k views

How many 5 card poker hands have at least one card from each suit, but no two matching values?

How many 5 card poker hands have at least one card from each suit, but no two matching values? There are 4 possible suits for the first suit, of which we have 13 choices, then 3 possible suits for ...
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4answers
2k views

How many different flush hands can you have that consist only of hearts, diamonds or spades? [duplicate]

In poker, a flush is a 5-card hand where all the cards have the same suit. Recall that a deck of cards has 52 cards. There are 4 suits (hearts, clubs, diamonds and spades) and each suit has 13 cards. ...
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2answers
89 views

Probability of full house using “license plate” method, a strange coincidence?

License plate method example: Find the number of possible combinations for a license plate in the format: [0-9][0-9][A-Z][A-Z][A-Z] Answer: ...
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1answer
521 views

Game theory problem: Poker with bluffing

Hope someone can help me with this one. The problem I am talking about can be found in the book titled "Game Theory Evolving: A Problem-Centered Introduction to Modeling Strategic Interaction" by ...
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3answers
970 views

How buying “back in” in poker tournament changes odds

My buddy and I are arguing over something that cropped up in this past weekend's Texas Hold'em tournament. A player got "knocked out" (lost all their chips) early on in the game. The person hosting ...
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1answer
239 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 ...
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3answers
198 views

Poker game probability question

In a standard poker game (no wild cards), suppose you are dealt five cards and your hand contains exactly one pair. You trade in the three worthless cards for new ones. What is the probability that ...
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192 views

Poker Probabilities

(assuming texas hold'em poker) If you have a flush, what’s the probability that someone else has a flush? What's the probability that someone else has a BETTER flush than you?
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264 views

Poker Probabilities with a wild card

Suppose you have a standard deck of 52 cards and add a 53rd card which is a “wild card” and can stand for any other card. What’s the probability of getting a straight? What’s the probability of ...
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1answer
443 views

poker hand probability question

8 pokers hands are dealt from a shuffled deck without replacement. a. Find the probability that at least one of the 8 hands is a heart flush(all five cards are hearts). Pr(at least one of 8 hands is ...
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2answers
451 views

Poker combinations & probability

I'm trying to figure out how I can work out the number of possible valid hand combinations of a poker game that a player (opponent) could possibly have when the flop has been dealt on the table. So ...