# Tagged Questions

Questions regarding probabilities and combinatorics of card games based on C cards decks and P players.

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### Do the last three remaining cards in a game of Set always form a set?

Question (brief introduction to the game Set is given after the question) When a game of Set gets to a point that there are only three cards left on the table, and all other cards were already ...
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### Variable triples vs. single quad card game. Who has the advantage?

$2$ people decide to count wins on a card game using a well shuffled standard $52$ card deck. Community (shared) cards are drawn one at a time from the deck without replacement until there is a winner ...
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### I don't understand why this card trick works!

So My math professor did a card trick with me where he gave me a set of normal 52 cards and let me shuffle them however I like, he even said that i can arrange them however I would like. Next, he ...
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### Standard playing card deck without jokers: Deal 13 cards. What is the probability at least 1 suit is not present?

Similar questions: What is the probability that 13 cards drawn from a standard deck has at least one card from each suit? Deal 4 cards from a deck. What is the probability that we get one card from ...
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### first card club and second card ace?

Larsen and Marx Suppose that two cards are drawnâ€”in orderâ€” from a standard 52-card poker deck. In how many ways can the first card be a club and the second card be an ace? I think there are ...
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### Picking cards sequentially vs consecutively

We have a pack of 6 cards over the table. Cards are: {A, A}, {B, B}, {C}, {D}. There are 3 players (Papa, Pepe, Popo) sat around the table. Cards are all upside down, so the players cannot see which ...
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### For given range of opponent cards, which must I hold to be at least equally likely to win a showdown?

(What I need at least are the names of the concepts I need to learn so I can google them. Not expecting the reader to do the legwork for me.) The game is No-limit Texas Hold'em. Nine handed table, ...
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### Probability on card suits in a standard deck

Let's say we have a standard deck of 52 cards with 13 cards each of the standard suits of spades, clubs, diamonds, hearts. Let's say we have p players and each player is dealt q cards where pq<52. ...
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### Find most varied match assignments for a 4-player card game

I'm a programmer and confronted with a particularly hard (at least for me) problem I couldn't find an answer for. This is not a school task or anything. It is something I need personally. I've ...
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### Big Two's classification according to game theory

Is the game Big Two, as described in https://www.pagat.com/climbing/bigtwo.html, classified as: a game of perfect or imperfect information? deterministic or stochastic? EDIT: I am fairly certain ...
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### How to punish a riffle shuffle?

It is common knowledge that for a deck to be considered randomly sorted, at least seven riffle shuffles should be used. However, in my experience, very few people will take the time to complete seven ...
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### Probability that duplicates are still in the deck after X card drawn

Deck has 30 cards, out of which 5 cards have duplicates (20 cards are unique, 5 cards have 2 copies each). If you draw X cards from the deck (without returning), what is the probability that there ...
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### Combination: Selecting at least two cards, at least one from two non-exclusive sets.

I'm trying to figure out probabilities of certain hands for a game I've been considering. An example is the probability of having a card that is an Ace or King and a card that is a Heart or a Diamond,...
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