Questions tagged [card-games]
Questions regarding probabilities and combinatorics of card games. The number of cards in the deck, number of players, and other parameters can vary.
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Riffle Shuffle - Example
Small question: In the paper by Bayer and Diaconis "TRAILING THE DOVETAIL SHUFFLE TO ITS LAIR", the authors claim that the number of ways to riffle shuffle a certain ordering of cards $\pi$ ...
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Probability of getting 2 cards with the same color
You have two decks of cards: a 52 card deck (26 black, 26 red) and a 26 card deck (13 black, 13 red).
You randomly draw two cards and win if both are the same color. Which deck would you prefer?
What ...
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Picking cards from a 65-card deck
A special deck has 5 suits of 13 cards each, making a total of 65 cards.
We are dealing a 6-card hand from this deck. In how many ways one can pick a "well-suited" hand (defined below)?
A ...
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Expected number of cards fixed in a deck after a certain operation, Paul Zeitz, 3.1.28, pg 69, Art and Craft of Problem Solving
Problem: Given a standard deck of 52 cards, extract 26 of the cards at random in one of the $(52 C 26)$ possible ways and place them on the top of the deck is the same relative order as they were ...
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Probability of two consecutive pairs in a hand of cards out of X identical playing card decks
I play a game that involves standard decks of playing cards, and scales with the number of players. 4 players use two decks of standard playing cards, 6 players use three decks, etc.
One sequence of ...
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Expectation of time for an ace to appear [duplicate]
This question appears in Zhou's A Practical Guide To Quantitative Finance Interviews.
What is the expected number of cards that need to be turned over in a regular 52-card deck in order to see the ...
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Odds of getting a 3 card straight from 3 cards out of an 8 deck set
Title says it. Combine 8 decks, shuffle, deal three cards. What are the odds that these three cards make a straight. Not just looking for the answer as I believe I found that online. Really I'd like ...
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In MTG Arena Jump In! Events, How do I maximize my long term rare/mythic rewards? [closed]
Introduction:
Magic the Gathering: Arena is a online collectible card game where you build a deck of cards and battle other players based on the physical trading card game of the same name. In the ...
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Probability that the next card is the ace of spades
Say I have a standard $52$ count deck of cards in random order, and that I start flipping cards from the deck over until a king appears, which is card #$19$. What's the probability the next card is ...
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Making card configurations in Sagemath
I'm following SageMath's tutorial on Combinatorics and one of the exercizes is to calculate the set of Four of a Kind hands (in card games a hand containing four cards of the same value is called a ...
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You draw 5 cards out of deck of N cards, needed to calculate probabilty of picking 2 marked cards.
So, there is a deck of N cards ($N-2$ are blank, and $2$ are marked), you draw $5$ cards with each attempt, what is probability of picking 2 marked cards with the first and each new try? (The deck ...
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How can I solve this challenging card counting problem?
A deck of 52 cards is shuffled and evenly split amongst 13 people(4 cards each). What is the probability that one of them has exactly 2 aces and 2 others have exactly 1 ace each?
I feel like a good ...
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Probability the 13th card dealt is the first king dealt?
The problem:
A player is randomly dealt 13 cards from a standard 52-card deck. What is the probability the 13th card dealt is the first king dealt?
I understand the solution which is based on the ...
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Dobble Algorithm for three or more matches.
I've played Dobble and asked myself it is possible to have instead of pairs, $n$ cards having one symbol in common, for example for $n=3$ if you take any three cards they only have one symbol in ...
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What is the probability of getting a King, Queen, Jack and Ace of same colour, and a Single pair of same colour in a hand of six cards?
What is the probability of getting a King, Queen, Jack and Ace of same colour, and a single pair of same colour in a hand of six cards?
I am working on a casino game however to determine house edge ...
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