All Questions
28
questions
0
votes
1
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61
views
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
227
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 ...
- 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
255
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 ...
- 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
190
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 ...
- 133
3
votes
1
answer
197
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
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 ...
- 33
5
votes
1
answer
224
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
631
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
795
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
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 ...
- 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