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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Number of all possible different combinations of a non-standard card deck.
Father and son play a game with a 52-card deck of cards. Each card of this deck
has a number from 1 to 13 on it and there are 4 cards exactly the same for each number.
In how many different ways can ...
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A 4-player French tarot randomness problem
No need to know how to play French tarot, I'll explain whats needed to be understood.
A deck of tarot contains 78 cards, 3 of them called oudlers play a specific and important role in the game, let's ...
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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 ...
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What is the probability of getting 5 cards where 3 of them are kings, the 4th card is red and 5th is a black card?
I know how to do the probability when I pick 3 card from the deck and all three are kings. But with this question, I am confused because I do not know if the 3 kings are two red and a black or 2 black ...
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Card Game Strategy
There is a regular deck of 52 playing cards and 3 cards are placed face-down on the table. The cards have values ranging from 1-13. The dealer secretly checks all face-down cards, i.e. you do not get ...
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In a deck of 52 cards, you draw two cards without replacement. Are the events conditionally independent given that the first card drawn is a heart?
In a deck of 52 cards, you draw two cards consecutively without replacement. Are the events "drawing a heart on the first draw" and "drawing a black card on the second draw" ...
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Probability that a 5 card hand contains all 4 cards of a rank given that I know that the hand contains at least 3 cards of a rank.
The correct approach here seems to be to calculate all the possibilities that a hand contains 4 cards of the same rank (A) and all the possibilities that it contains exactly 3 cards of the same rank (...
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3 card Expected Value
We draw three cards from a deck. We reveal the one with the smallest value. What is the expected value of a card that we draw next?
My approach:
We know that E[x] for a standard 52 sided deck with ...
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How many ways can I pick a size $3$ set from $\{1, 2, 3, 4, 5, 6, 7, 7, 7\}$ such that at least one is odd?
I am trying to solve the following puzzle:
I have nine cards, where six of them are labelled $1$ through $6$ and the remaining three are indistinguishable and labelled with 7. Calculate the number ...
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using the imaginary unit with inverses
I'm trying to think of a card game based on using arithmetic together with the imaginary unit to compete against another player to make certain numbers using only other numbers and a set of operators. ...
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Probability of card game
In this game, we use a standard shuffled deck of $52$ cards. The suits of each card do not play any part.
Take a card from the deck one by one. If the card's rank is equal to the number of cards you ...
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20 cards with 4 specials split in 2 batches of 10. Whats the probability...
There are 20 cards and inside them there are 4 specials (i.e. hearts) and 16 "others" (i.e. other colors).
We need to split it to 2 players, therefore each of them have 10 card.
What is the ...
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Minimum amount of required chits to award player points
There is a board game for up to four players that has 7 rounds and at the end of each round the game awards the first player 3 points, the second 2, the third 1 and the fourth 0 points.
The points are ...
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Drawing Cards from a Deck [closed]
You have a standard deck of 52 cards. When drawing 3 cards randomly from this deck, answer the following questions:
What is the probability of drawing at least one Ace card (excluding Jokers)?
What is ...
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Expected number of cards between first Jack and first queen given first Jack appears before first Queen.
Suppose we draw cards from a standard deck one-by-one. Find the
expected number of cards after the first Jack and before the first
Queen given that the first Jack appears before the first Queen.
My ...
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