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0
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3answers
139 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
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1answer
325 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
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2answers
190 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
61 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
173 views

Conditional Probability

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
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3answers
593 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
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2answers
576 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
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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
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2answers
155 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 ...
3
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2answers
3k 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
218 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
468 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
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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
116 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
374 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 ...
23
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5answers
11k 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
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2answers
268 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
230 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
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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
196 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
547 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 ...
7
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 ...