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2 votes
1 answer
130 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 ...
Peter Robertsson's user avatar
5 votes
2 answers
208 views

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 ...
mdahlman's user avatar
  • 227
1 vote
1 answer
59 views

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 ...
bRost03's user avatar
  • 453
1 vote
2 answers
166 views

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 ...
user11718766's user avatar
4 votes
1 answer
162 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 ...
user11718766's user avatar
0 votes
1 answer
114 views

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 ...
enamul17's user avatar
1 vote
0 answers
445 views

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 ...
Z1pp3d's user avatar
  • 103
0 votes
4 answers
285 views

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 ...
Stephen Dean's user avatar
2 votes
1 answer
669 views

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 ...
Mantas Kandratavičius's user avatar
1 vote
1 answer
590 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?...
Mantas Kandratavičius's user avatar
0 votes
1 answer
1k views

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 ...
8bitedge's user avatar
3 votes
1 answer
154 views

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 ...
Tub's user avatar
  • 31
0 votes
1 answer
129 views

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?
N.B's user avatar
  • 1
9 votes
3 answers
1k views

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. ...
ToGzGaming's user avatar
0 votes
0 answers
384 views

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 ...
Petra's user avatar
  • 131

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