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0 votes
0 answers
49 views

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 ...
Marx's user avatar
  • 33
0 votes
2 answers
392 views

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: ${13\choose3}{13\choose2} = 22308$
Joe's user avatar
  • 33
0 votes
0 answers
41 views

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 ...
Peter Robertsson's user avatar
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
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
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
0 votes
1 answer
925 views

5 Card Poker probability with specific cards already dealt

I'm trying to calculate probability of a 5-Card Poker hand where two cards (a single player's hand) have already been dealt. Calculating probability of receiving Two-Pair is a good example that ...
chriskgregory's user avatar