All Questions
28
questions
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65
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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 ...
- 415
2
votes
4
answers
228
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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 ...
- 135
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 ...
- 11
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 ...
- 31
3
votes
1
answer
266
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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 ...
- 41
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 ...
- 23
3
votes
1
answer
195
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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
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 ...
- 110
0
votes
0
answers
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
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 ...
- 110
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 ...
- 71
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 ...
- 43
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 ...
- 453
0
votes
1
answer
115
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 ...
- 13
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 ...
- 3
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 ...
- 31
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.
...
- 91
0
votes
1
answer
70
views
Revealing cards at end of poker hand
I'm watching a late night game of poker where the winning players sometime show their bluff (or stellar hand) at the end of a turn.
My question is this: does the act of revealing my cards after ...
0
votes
0
answers
424
views
Video Poker Probabilities
I developed a Video Poker software.
Its working fine "Jacks Or Better"
Now i want to improve it with statistics.I want the software to suggest which cards to hold to get the best possibility of a ...
0
votes
1
answer
57
views
How do I find the conditional probability of a second person being dealt a 'full-house' hand after the first person has been dealt a 'four-of-a-kind'?
Standard 52 card deck, so total number of possible hands is 52C5.
A four of a kind is a hand where 4 of the cards are of the same value and out of necessity, the last one is of a different value. Eg. ...
user337254
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 ...
- 736
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 ...
1
vote
1
answer
206
views
Chance of Poker flush by discarding one
I am trying to solve a probability problems. I know that probability of getting flush (contains five cards all of the same suit) in 5 card poker is 0.196. But what if we have the option to replace a ...
- 113
1
vote
1
answer
263
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Another card game probability calculation
The game: dealer and multiple players, lets say 6 players, 1 dealer.
Each participant received 2 cards.
Hands: each hand consists of 4 cards, the player's two cards and the dealer's two cards.
...
- 13
1
vote
3
answers
786
views
5 cards are drawn one at a time without replacement from a deck of 52.
Calculate the probability of landing a straight flush. A royal flush is considered a straight flush.
I can't be sure, but I think the answer changes depending on the first card you choose. Like if ...
- 111
0
votes
0
answers
61
views
What are the best $3$ pocket cards in Omaha poker?
In Texas Hold'em poker, the best $3$ pocket cards are AA, KK and QQ respectively.
I've been trying to find the best $3$ pocket cards in Omaha poker, where you have to use exactly $2$ pocket cards out ...
- 11.4k
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 ...
- 133
-1
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2
answers
1k
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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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