Questions tagged [cards]

For puzzles centered around playing cards. For questions about card games themselves, visit our sister site Board & Card Games Stack Exchange.

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43
votes
5answers
30k views

A five card trick - How does it work?

At a party last night, my friends Alice and Bob did a magic trick. Any ideas how it worked? Alice shuffled a pack of cards, and asked me to take five. I looked at them. She put the rest of the pack ...
38
votes
4answers
3k views

Multilayer Image Steganography

Alice, Bob, Carol, and Dan are playing a card game. After they all show their cards, Bob notes that by exchanging two cards the order of the players would be reversed; that is, the player with the ...
31
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2answers
1k views

Alice and Bob invent a game

The rain was still falling in Wales, and Alice and Bob were terribly bored of having to stay inside the caravan. With just a deck of cards to entertain them they had played all of the card games in ...
24
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2answers
1k views

Minigolf Solitaire

Golf is a form of patience (solitaire) in which you must remove cards from several tableaus, leaving as few as possible. Today, though, we're doing a round of Minigolf instead. Unlike Golf, there are ...
19
votes
1answer
494 views

Captain Pun plays cards

Last night I was playing a game of cards with my good friend Captain Pun and his wife. All of a sudden, partway through a round, he threw down a card that bore this design: Colour-blind-friendly ...
17
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6answers
1k views

Unique representation ID for 5-card poker hand using combination without sorting

There is a deck of 52 playing cards (e.g. poker cards). Assign every card a unique number (ID) at will. Every combination of 5 of these cards (a "hand") shall be represented by a unique result number, ...
16
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10answers
3k views

5 people each have 5 equal cards

A competent logician is playing cards with four of his friends, so that there are a total of 5 people sat around the table. Each player has the same 5 cards, showing A, 2, 3, 4, and 5 (Ace being low). ...
16
votes
8answers
2k views

Rigged casino that prevents pairs

This question is still active as the answer from @Sleafar has just arrived. Not yet solved. Scenario The heads of 3 top terrorist organisations are planning to play an extremely high-stake poker ...
15
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7answers
2k views

Poker and a card shark

I am playing poker with three friends and from a well-shuffled deck we have each been dealt five cards. I have a hand consisting of the four kings and the two of hearts. Being a poker wizard I know ...
14
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4answers
718 views

What happened today? Asked the magician

Yesterday I went to a magic show and I was part of a clever trick. First of all, the magician arranged 36 cards in a 4 x 9 grid as follows: Then they called me on the stage. I felt a little bit ...
13
votes
1answer
2k views

Find the winning strategy for this card game

Nine cards numbered 1 through 9 are kept facing up on a table. Alice and Bob are playing a game wherein they pick up cards one at a time, alternatively. The first person to have three cards with sum ...
13
votes
4answers
1k views

Cooperative guessing game

A standard deck of 52 cards is shuffled and split into two piles of 26 cards each. Two players cooperate, they must score as many tricks as possible. The first player draw 5 cards from the first pile, ...
13
votes
1answer
271 views

A retroanalysis problem in bridge

This is an entry into the 29th fortnightly topic challenge - Retrograde Analysis. You're passing a bridge table when one of the players (South) is called away suddenly. He gives you his hand and says ...
11
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5answers
2k views

Sorting cards using max 3 stacks

You have a stack of N cards numbered from 1 to N in random order. You want to sort the cards in ascending order using the following procedure: Your initial stack is stack 1. You distribute the cards ...
11
votes
2answers
1k views

The Fitch Cheney Card Trick Extended

First, here is the original question which was also discussed here in Puzzling Beta: This is a two-person card trick. At the initial stage, the magician leaves the room. The magician's assistant ...
10
votes
7answers
609 views

A cooperative guessing game - Guess your order and card

6 players sitting in a circle and each assigned a card among 2 Hearts, 3 Hearts, ..., Ace Hearts (i.e. any of the Hearts cards). Holding her card above his forehead (i.e. Indian Poker fashion), each ...
10
votes
1answer
545 views

Perfect riffle shuffles

Take a deck of cards (with indexed position from 1 (top) to 52 (bottom)) and perform a perfect riffle shuffle, such that the top card (1) is still on top and the bottom (52) is still on the bottom. ...
10
votes
2answers
2k views

Two Card Probability Problem

I came across this puzzle somewhere on the interwebs. Has stumped me for an answer for quite sometime. Helpplease? Someone picks, at their will, two cards from a deck of cards. The cards have ...
9
votes
3answers
2k views

How to cheat at cards

I have a deck of 52 cards on the table in front of me, in random order, each one randomly facing either up or down. I place one joker at each end, each of these again randomly facing either up or down,...
9
votes
3answers
944 views

Hidden Message: Hidden in The Cards

The image below carry a hidden message. The image alone is not enough, you'll need to use the hints to uncover the hidden message. All the information needed to solve the puzzle is already given (as ...
9
votes
1answer
227 views

2 of 4 cards for 1 die

These are equivalent to using using a deck of 4 cards to emulate a 6-sided die. A. Assign integer values to   a, b, c, d   so that the 6 possible &...
9
votes
2answers
216 views

What are the odds that there is no solution on a given Set board?

I was playing a game of Set with a group. We had the usual twelve cards out and all agreed that there was no set. We then increased the number of cards to fifteen and were still unable to find a set....
8
votes
1answer
270 views

Named after - card puzzle

(this is a picture puzzle) Hint is -'Named after'
7
votes
3answers
2k views

Pick one card magic

At a dinner last night, my friend Lan did a magic trick. Any ideas how it worked? First, Lan took a number of cards out of a 52-card deck. I don't know exactly the number of card. To be sure that the ...
7
votes
5answers
1k views

The Great Houdini's awesome card guessing trick (2)

The Great Houdini is performing again! Everybody wants to see the famous magician and the magic show is sold out. Today Houdini shows the following sophisticated trick: A guy from the audience ...
7
votes
2answers
1k views

The Great Houdini's awesome card guessing trick (3)

The Great Houdini is performing again! Houdini has built up lots of reputation by showing his great card guessing tricks in [predecessor puzzle-1] and in [predecessor puzzle-2]. Everybody wants to see ...
7
votes
2answers
5k views

Are there any forms of patience or solitaire that can be solved by logic alone?

Single player games using a single deck of playing cards often called patience or solitaire, generally involve a degree of skill and luck to solve, with card shuffling ultimately being the deciding ...
7
votes
1answer
803 views

How To Split The Deck

I took a standard 52-card deck and split it into two piles. Pile 1: Clubs: A 3 5 6 7 8 9 Diamonds: 7 Hearts: A 3 5 6 7 8 9 Spades: A 3 5 6 7 8 9 Pile 2: Clubs: 2 4 T J Q K Diamonds: A 2 3 4 5 6 8 9 ...
7
votes
1answer
821 views

Queens full of jacks

(Note: I doubt that this puzzle is complex enough to post it here, but I still took a try.) There are 3 queens and 2 jacks (a full-house combination from poker) taken from a deck with standard suits, ...
7
votes
2answers
823 views

Alice and Bob play at cards

To pass the time Alice and Bob play a simple game of chance where cards are drawn in pairs from a shuffled standard 52-card deck. If two red cards are drawn Alice wins the round. If two black cards ...
7
votes
2answers
833 views

Cooperative guessing against an evil god

Following this: Cooperative guessing game: A standard deck of 52 cards is shuffled and split into two piles of 26 cards each. Two players cooperate, they must score as many tricks as possible. The ...
7
votes
1answer
305 views

A message sent to me in spell cards

My brother went missing a few days ago. No one has seen him since then. The day he went missing, I saw the following arrays of my new Dungeons and Dragons spell cards. I didn’t think much of it then, ...
6
votes
1answer
439 views

Mathematical Coincidence

A friend came up to me today with a deck of cards, and put these 6 into a group: 2 3 5 7 J K The other 7 values went into another group: A 4 6 8 9 10 Q He then challenged me to find the reason ...
6
votes
4answers
1k views

6 Cards, Top to Bottom

The six cards shown below were turned face down, "shuffled" (i.e.. re-arranged), and put in a pile, one on top of each other. Each card has an obvious numeric value. In addition, the "J", "Q", and ...
6
votes
2answers
540 views

Solitaire Puzzle

This one shouldn't be too hard. Preparation stage: Take a shuffled deck of standard playing cards and deal 13 face-down piles of 4 cards each. Pick up each pile, arrange the order of the cards ...
6
votes
3answers
418 views

Five-hand poker

Both players are dealt $26$ cards from a regular $52$ card deck. He discards $1$ and makes $5$ hands (from the remaining $25$) in any order, each with $5$ cards. His score is given by the sum of ...
6
votes
0answers
175 views

There are 49 cards here. Figure out what the seven facedown cards are and what position they're in

So here's the problem "There are 49 cards here. Can you figure out what the seven facedown cards are and what position they're in?" I have tried about everything in my math tool belt to try ...
5
votes
2answers
310 views

Random Shuffled Deck of Cards

It is known that 7 random riffle shuffles are enough to make almost every configuration equally likely in a deck of 52 cards. Perfect Shuffle is when you cut the cards exactly in half and perfectly ...
5
votes
6answers
2k views

Three Cards Trick [closed]

Do you know The Fitch Cheney Five Cards Trick? The following is a much harder twist of it. Standard 52 cards deck. Magician is outside the room. Assistant asks random guy from the public to shuffle ...
5
votes
5answers
809 views

Card trick with two assistants giving two cards each from a 53 card pack (with joker)

A long time ago, I saw on a website (with a grec sounding name i can't remember), a card trick I've passed a long time trying to solve. I hope it has never been posted there and i'm sure it will ...
5
votes
3answers
1k views

The Great Houdini's awesome card guessing trick (1)

The Great Houdini is performing again! A guy from the audience arbitrarily chooses $52$ cards from a huge stack. He shuffles the cards and announces to Houdini that there are $a$ spades, $b$ hearts, $...
5
votes
2answers
367 views

Starred, as to the crew's aid

The flavour text (except for the puzzle's name) is not a hint, but a true story I didn't really have any ideas for a puzzle, but my everyday life gave me one. I think, the puzzle could be better if I ...
5
votes
1answer
227 views

Who's the winner of this card game?

During a round of a card game big two, two players decide to show off their hands. The 1st player has ♥3 ♥4 ♥4 ♥6 ♥6 ♥8 ♥8 ♥K, and the 2nd player has ♠7 ♠9 ♠9. It's the 1st player's turn, and he can ...
4
votes
4answers
219 views

What is the minimum High Card Points needed for a partnership to be able to claim all 13 tricks in Bridge?

Assume you have basic knowledge of how a contract bridge game plays. There are 40 total HCPs in a set of cards. 4 for each Ace, 3 for each King, 2 for each Queen and 1 for each Jack. What is the ...
4
votes
2answers
972 views

Five Card Magic Trick with $N$ card Deck

Last week, I saw a magic show, and was the volunteer for climactic act. The magician introduced this act by talking about the Fitch-Cheney card trick, but then explained that she was going to do an ...
4
votes
2answers
350 views

Card Passing Game

13 friends are sitting around a table. They shuffle a half-deck of cards, consisting of only the black cards of a standard deck, and deal out two cards to each person. There are then a series of ...
4
votes
2answers
335 views

The 7 face up/down card

Note: This puzzle is a very old puzzle I got from the Internet, however I changed it a bit to be more interesting. INSTRUCTIONS You have got 7 blank cards. You are playing with a friend of yours. Your ...
4
votes
3answers
559 views

Dr. G's Interesting Theorem on Playing Cards

Dr. G has spent his last weekend with analyzing $n$ number of cards which are numbered from $1$ to $n$. He has a fair shuffling machine for his cards and while playing and drawing some cards, he uses ...
4
votes
3answers
1k views

A game of Green Jack

NB: This is based on a puzzle over at BrainBashers.com. The setup You and a friend play a card game called Green Jack. The deck consists of 16 cards, divided into 4 cards in 4 colors (standard ...
4
votes
1answer
327 views

Mathematical probability with cards

A box contains 900 cards enumerated from 100 to 999 (Each number appears once and just in one card). I took some random cards without looking at them and calculated the additions of the digits in each ...