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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Expected value of highest card before first ace
For practice, I decided to invent a variation on the problem of the expected number of cards to be drawn until the first ace is found. I would appreciate some feedback and clarification on certain ...
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How to compute probabilities in a card game?
Setting:
I am developing an app for a card game with 4 players.
Every player can see his own hand, but has normally only probabilities, which cards are in the hand of the other players.
Lets take as ...
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French Tarot suits probability
French Tarot is played with a 78-card deck.
The deck includes four suits (hearts, diamonds, spades, clubs).
Each suit contains 14 cards: 1, 2, ..., 10, Jack, Knight, Queen, King.
There are also 21 ...
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Is there a winning strategy in the card removal game?
A and B play a game with blue, red, and green cards. They start with an even number of $n$ blue cards ("stacks"). Player A starts, and the players take turns. Only two moves can be made:
(i) ...
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Count possible outcomes in dealing cards [closed]
our players Blanche, Dorothy, Rose, and Sophia are playing bridge. An outcome is a particular partition of the $52$ cards into
assignment of $13$ cards each to the $4$ players. Leave your answers in ...
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Number of cards between first jack and queen
You pull cards out of a shuffled deck until you get a jack and a queen. Given see the jack first, what is the expected number of cards between the jack and the queen?
I believe this is a conditional ...
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Optimal Strategy for 29 card game
I recently played an interesting card games called 29 and was trying to figure the optimal strategy for the same.
Here's the wiki link for the game
https://en.wikipedia.org/wiki/Twenty-eight_(...
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Probability: Card distribution problem
A deck of 52 cards is equally dealt to 4 players.
Find the number of ways to distribute the cards so that each player has exactly one card from each rank.
[Note: A deck of 52 cards consists of 13 ...
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Group generated by pile shuffles
I can find plenty of questions relating to riffle shuffles, but none about the simple pile shuffle. My question is about the permutations possible on eight cards by pile shuffling.
Eight cards are ...
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Probability of drawing two different suits out of 4 cards.
Given a deck of 40 cards, with 4 suits of 10 cards each and cards numbered from 1 to 10, we draw 4 cards. Let the random variable N be the number of different suits.
I am asked to compute $P(N=2)$.
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" How many ways are there to choose four cards of different suits and different values from a deck of 52 cards ? "
"How many ways are there to choose four cards of different suits and different values from a deck of 52 cards ? "
I solved this question in this way :-
"So, for the first card we have ...
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Draw 5 cards from a deck of 52 without replacement, what is the probability that those 5 cards are in ascending or descending order?
Need help double checking the answer for this one:
Firstly, calculate the probability of getting 5 distinct cards. This would be:
52/52 * 48/51 * 44/50 * 40/49 * 36/48 = p
Now, the probability of the ...
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Expected number of cards to draw before first ace using stopping times?
Consider the classic combinatorial problem that asks how many cards we should expect to have to draw on average before we see our first ace. There are several solutions. My first instinct was to write ...
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2 dice -> 9 cards
Alice has two standard dice with labels 1 thru 6. When she rolls them and adds their labels, she gets a distribution over integers in [2, 12]. Bob has nine cards, each labeled with some real number. ...
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Standard Deviation of 26 Cards
What is the standard deviation for 26 cards drawn from a standard deck (each card's value ranges between 1 and 13)? Assume selection is with replacement.
I saw someone approach this problem by summing ...
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