All Questions
28
questions
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.
...
6
votes
1
answer
633
views
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 ...
5
votes
1
answer
226
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 ...
3
votes
3
answers
441
views
What's the probability of a straight in $5$ card poker given $5$ and $7$ of hearts?
Using a standard $52$ card deck, if you are given the $5$ and $7$ of hearts from it, what is the probability that you end up with a straight if $3$ additional cards from that same deck are given to ...
3
votes
1
answer
195
views
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 ...
3
votes
1
answer
266
views
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 ...
3
votes
1
answer
156
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 ...
3
votes
0
answers
57
views
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 ...
3
votes
1
answer
199
views
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 ...
2
votes
4
answers
228
views
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 ...
2
votes
1
answer
161
views
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 ...
2
votes
2
answers
797
views
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 ...
1
vote
1
answer
50
views
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 ...
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 ...
1
vote
1
answer
305
views
probability for Texas Hold'em
Let's say I have the cards 5 of hearts and 6 of hearts. The 5 cards on the table are 5 of spades, 5 diamonds, 5 of clubs, 6 of diamonds, 7 of diamonds. So now, lets say the only way an opponent will ...