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5
votes
1answer
3k views

The probabilty of a new arrangement of 52 cards deck?

I just read this article, it claims that if you just shuffle a 52 card deck, you will mostly be creating an arrangement that no human have ever seen before. But this doesn't seem right since every ...
1
vote
1answer
91 views

A probability problem [duplicate]

Possible Duplicate: Card probability problem The following question was asked on a closed online forum. I think the correct answer is 1/2, however the ...
1
vote
1answer
108 views

Newly Invented Card Game Hand Ranking

What would single-deck 2-card poker rankings/probability be for the following hands. (Deal 2 cards) Hands Royal Flush - Ace King Suited Pair Straight Flush - Any consecutive suited Flush - Any ...
3
votes
1answer
73 views

A card game with a long path

I recently played an online card game in which the cards were spread on the table. The goal was for me to pick up as many as possible, subject to the following rule: After picking up the first card, ...
1
vote
2answers
397 views

Why is this term required for a probability about drawing cards from a deck

Five cards are drawn from a standard deck (not replaced). Determine the probability of drawing exactly 3 hearts and 2 diamonds. The expression for the probability is: ...
0
votes
2answers
496 views

Deal combinations in solitaire game 'Klondike'

It seems that the solitaire card game 'klondike' presents some head scatching when trying to work out odds for winnable games etc, but I would image a 'simpler' question is 'how many different deal ...
1
vote
2answers
3k views

What are the probabilities of getting a “Straight flush” in a poker game?

I'm not a pretty much fun of Poker, but I'd like to study that game. What are the probabilities of getting a Straight flush in a Poker game considering this factors? Number of playersHow are cards ...
10
votes
2answers
13k views

What is the probability that a solitaire game be winnable?

By "solitaire", let us mean Klondike solitaire of the form "Draw 3 cards, Re-Deal infinite". What is the probability that a solitaire game be winnable? Or equivalently, what is the number of ...
1
vote
2answers
182 views

Help calculating the probability of dealing a custom deck of cards

Imagine a deck that consists of two types of cards. There are 2 type A cards and 9 Type B cards, totaling 11 cards. Assuming that 1 card will be dealt to 5 players. What are the probabilities that ...
1
vote
2answers
431 views

non-routine application of inclusion-exclusion

What are the circumstances when inclusion-exclusion can't be routinely applied, and some adjustments have to be made ? This question arises from a problem of finding the probability of getting a ...
1
vote
1answer
2k views

A bridge hand void in one suit

A bridge hand consists of 13 cards from a standard deck of 52 cards. What is the probability of getting a hand that is void in exactly one suit, ie consisting of exactly 3 suits ?
1
vote
2answers
329 views

A question in Probability, aces drawn from two halves of a shuffled deck

"A deck of cards is shuffled and then divided into two halves of 26 cards each. A card is drawn from one of the halves, it turns out to be an ace. The ace is then placed in the second half-deck. The ...
-1
votes
3answers
141 views

From a mathematical point of view is it optimal in no limit texas hold em to play with more money than less?

I noticed the other time a friend of mine went to a casino and bought in 100 dollars for a 1-2 table. Other players had heavier buy ins. I have received two opposing arguments. One says that buying in ...
10
votes
1answer
335 views

Algorithm for a deck manipulation

Let's say you have a randomised deck of $N$ different cards. An $M$-action ($M\le N$) is defined as follows: you look at the top $M$ cards of the deck, put as many of them as you choose on top of the ...
2
votes
2answers
191 views

Very simple poker holdem question

N holdem hands (just 2 cards from a standard 52 cards deck)  are dealt to N players How to compute the probability that: -exactly k players have a pair ( Two cards of the same value e.g.: 7, 7). ...
1
vote
1answer
62 views

Completely stuck: probability of handing out cards a certain way

After handing out 5 cards to each player, what is the probability that, given that Mr. A has exactly 1 ace, none of the other 3 players have more aces than Mr. A? I figured the probability of ...
1
vote
2answers
185 views

Conditional Probability [closed]

In a $13$ card hand, given that a person has one ace, what is the probability that person has more than one ace? In a $13$ card hand, given that a person has the ace of spades, what is the ...
11
votes
3answers
608 views

A question about Poker (and probability in general)

Okay, so I've been thinking about this question for a long time, and I'm starting to think that there isn't an answer. So please read the question, and if there is an answer, tell how you came to it, ...
5
votes
2answers
659 views

How are TV Texas holdem poker percentages worked out

I watch with some mild interest on TV the poker games when I have little better to do at night. And I notice these guys playing Texas Holdem Poker. My question is, the TV has beside each players name ...
1
vote
2answers
1k views

algorithm explanation for card trick

I have been studying algorithms for a project im developing, and found this card trick, can any matemathical guru help me understand the algorithm behind?? card trick thanks a lot!
2
votes
2answers
167 views

Bulgarian Solitaire: Number of root loops and which numbers have multiple root loops

For an explanation of what Bulgarian Solitaire is, look here. I have worked out the full graphs for $1 \leq \text{number of cards} \leq 13$ in the past, and all of them had just one root ...
4
votes
2answers
4k views

average number of moves needed to complete a game of FreeCell

Sometimes finishing a game of FreeCell takes me 10 minutes, other times just one minute. I know that all but one of the FreeCell deals in windows can be won, but I'm not sure if they are random or ...
3
votes
3answers
228 views

How do you calculate the odds getting a single pair in Texas Hold 'Em?

Given that I am dealt one card, what are the odds that I will then make a pair either from the next card dealt to me or from the river of 5 cards played out? I'm thinking something like: given I have ...
7
votes
1answer
499 views

Bulgarian Solitaire: Size of root loops

I first learned of Bulgarian solitaire from one of Martin Gardner's books a while ago and have since investigated it somewhat. Google-searching has revealed that surprisingly little work has been done ...
7
votes
3answers
1k views

Failing to guess each card in a deck

Consider the situation from this video. Cards from a normal playing deck are dealt out one at a time while the player guesses what the number of the card is not (suit is ignored). To be clear, the ...
3
votes
1answer
117 views

The maximum number of straight making ranks

Poker nerd question here... I'll start out with some definitions of standard poker terms: A flop is 3 cards chosen from a 52 card deck. For example: 789 (suits are irrelevant to this question). If ...
4
votes
3answers
386 views

A combinatorial card problem

Suppose you have a standard bridge deck of 52 cards. We will say you "have a pair" if you have two consecutive cards in the deck with the same rank (2,3,4,5,6,7,8,9,10,J,Q,K,A). If a deck is ...
27
votes
6answers
13k views

What is the math behind the game Spot It?

I just purchased the game Spot It. As per this site, the structure of the game is as follows: Game has 55 round playing cards. Each card has eight randomly placed symbols. There are a total of 50 ...
7
votes
2answers
273 views

Combinatorial Card Flip Game

Recently, I've been given an interesting type of problem that I am having a difficult time proving. The problem revolves around a game, with the rules as follows: "You have a deck containing n cards ...
7
votes
1answer
235 views

Proving a certain type of poker game can always be won

Ok, so I just finished a Discrete Math class where we learned about all types of proofs and counting and graphs, etc. So I know the basics, but never thought I'd need to use it in the real world (not ...
3
votes
2answers
2k views

Probability in a game of Contract Bridge

in a game of contract bridge, partner and me together have 11 cards in a suite. The remaining 2 cards in the same suite can be distributed amongst our opponents as either 1-1 or 2-0. What is the ...
2
votes
1answer
197 views

How many games should we play to determine the better player statistically significantly?

We are playing a game with my friend and trying to determine who is the better player. The game has an luck element to it. The current score is 9-7. The following questions have risen: 1) How many ...
6
votes
4answers
553 views

Mental card game

Each of n persons draws a card from a shuffled deck of $k$ cards numbered from $1$ to $k$. There are at least as many cards as persons. The winner is the person who is holding the largest card. If ...
8
votes
1answer
2k views

Counting how many hands of cards use all four suits

From a standard 52-card deck, how many ways are there to pick a hand of $k$ cards that includes one card from all four suits? I know that for any specific $k$, it's possible to break it up into cases ...