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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.

This tag is for questions about probabilities and combinatorics of card games. The number of cards in the deck, number of players, and other parameters can vary.

Related tags: , . could be relevant in some cases.

1121 questions
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Player position algorithm for cards game

So, in a classic 4 player cards game, which is multiplayer. I want to show each player sitting in the central position on their own respective screen. Opposite sitting players are partners. p2 p1 p3 p0 this configuration will…
Jabran Saeed
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Collection all cards in a cardgame

Imagine we have a cardset of 140. Every card has 1/140 chance of being drawn every time. When a card is drawn, it is shuffled into the deck of cards again. This would be like when you buy a set in a store, you can get the same card multiple times.…
StupidQuestions
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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 dealtWho is the first player
Garmen1778
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Who is the winner in the Low-High card game?

Recently, I do watch a Low-Card game in Korean Game show called Running Man. Here is the link. Basically, the game is like this. There are 20 cards in the table, numbered from 1 to 20. There are 4 players and each player need to choose two…
user1134456
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How to get the highest average value of game described in question body?

Let's image that we have a table and 100 cards on it. One card has two sides: on the first hidden side there is a number, from 1 to 100, and on the other side there is nothing. All cards are arranged sequentially in random order. A player can take a…
Andrey Valitov
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What is the possibility that 6 of my cards are double cards of continuity?

I was playing a card game where I thought of the problem and could not solve. The rule is that you have to put down the bigger cards than the previous player did. The order is: 3,4,5,6,7,8,9,10,J,Q,K,A,2. The player is dealt 13 cards randomly. What…
Guava
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From a pack of 52 cards, two cards are drawn randomly. What is the probability of both the cards being kings?

How do you do this? So, I was doing a mini maths test and the question popped up. Because there were 4 kings, so I did 4/52(there were 52 cards) and then simplified it. I got it wrong. So confused! (No replacement, but it will be great if you guys…
TempzApex
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Playing Cards question

Say I have a hand of X playing cards drawn from a standard 52-card deck, where X can be 1 through 10. Then say I also have a second deck of the 52 standard playing cards, and draw a card from there. (alternately, say I rolled 1d13) I need to…
Brooks Harrel
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How to shuffle more than 1 deck of cards

I know that after "ruffle shuffling" 1 deck (54 cards) 7 times, every configuration is nearly equally likely. How should I shuffle (for example) 3 decks (162 cards) assuming I can shuffle together only 1 deck (54 cards) at a time? I'd like an answer…
jkoop
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Card counting techniques to guess that last card in the deck

I think this is very well known task, but somehow I can't find much information about memorization techniques for cards. You have a deck of 52 cards and they take out one card out of it (51 left). They reveal left each card individually to you, you…
JukesOnYou
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Drawing three cards and pick away the lowest, what is the expected value of this cards and the other cards?

Assume a 52 deck of cards. Values A = 1, 2=2 ...... 10 = 10, J = 11, Q = 12 , K = 13. So the expected value of a randomly picked card is 364/52=7 Draw three cards and remove the lowest value of these three cards. Now without replacement pick a new…
Rosy
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Determining the order of cards in a deck of shuffled cards

Once a deck of cards is shuffled, can the order of all of the cards for that specific shuffle be determined by only knowing perhaps the order(sequence) of $4$ of the cards in the deck? How many possible shuffles would include these $4$ cards in…
Philip Larkins
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How true is every X cards?

If I had a 50 card deck, and I hypothetically had 5 aces, then drawing the top card off the deck has a 10% chance of being an ace. HOWEVER! If we are taking the phrase, every X cards in the most literal way possible, since I am supposed to see an…
Wiseman560
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How does this card trick work mathematically?

Shuffle the deck. Flip over the first $26$ cards (half the deck), face-up, in a pile (must keep them in order) As you're doing this remember the $7$th card. Take those first $26$ cards and put them on the bottom of the deck. Now flip over the top…
Niraj Raut
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