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Questions tagged [cards]

For puzzles centered around playing cards.

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3 votes
0 answers
102 views

Discworld (Spider Solitaire Version)

Here is yet another Spider Solitaire short story and puzzle (Disclaimer: I do not have a Bachelor of Arts in creative writing). Once upon a time there lived a number of $N$ wooden circular discs. All ...
happystar's user avatar
  • 7,664
3 votes
3 answers
259 views

All poker hands from a single deck

This question suggested itself to me – and I found a solution – after I solved Can you balance this poker deck?. Take out two aces from the standard 52-card deck. Your challenge is to partition the ...
Parcly Taxel's user avatar
  • 7,720
4 votes
1 answer
270 views

Can you balance this poker deck?

You are given the digits 0 to 9 in 4 poker suits. Distribute them onto the 8 highest poker hands (make one of each) of 5 digits each. They are Royal Flush (9 to 5 of one suit) Straight Flush (...
Nurator's user avatar
  • 379
2 votes
1 answer
213 views

Variant on a Well-Known Card Puzzle

This is a variant on a well-known logic puzzle. It is not intended to be difficult, given that we are now officially in the “silly season”. Yesterday I won first prize in a Chess tournament, only to ...
happystar's user avatar
  • 7,664
3 votes
1 answer
245 views

Justifying a redouble

This puzzle is derived from a real game of bridge I played on Bridge Base Online. I was sitting North on board 9 (N dealer, E-W vulnerable) and the bidding turned out like this: West North East South ...
Parcly Taxel's user avatar
  • 7,720
1 vote
0 answers
208 views

A Desperate Loss (Spider Solitaire)

This is a Spider Solitaire problem inspired by a hand I played today on my phone. Hopefully it’s easier than previous puzzles (where I got no satisfactory response). It is assumed the reader knows ...
happystar's user avatar
  • 7,664
1 vote
0 answers
107 views

Yet Another Interesting Spider Solitaire Hand (August 2023)

This is an interesting hand that arose when I was playing Spider Solitaire on my mobile phone. I aim to win without undoing any moves, but the number of moves required is irrelevant. WARNING: I ...
happystar's user avatar
  • 7,664
-1 votes
1 answer
129 views

How to produce an anti-snap random pack of card with the least work?

An antisnap pack of cards has no cards the same type one after another. You have say 10 sets of 10 different cards together sequentially- 10 of Type 1, 10 of Type 2.... What is the most efficient way (...
user2617804's user avatar
8 votes
1 answer
488 views

Spider Solitaire Puzzle - Can You Help Joe Bloggs Achieve His Goal?

It was yet another dreary Friday afternoon. Hardly anybody to talk to and the internet connection was flaky as usual. And the less said about his latest performance review the better. Hardly anything ...
happystar's user avatar
  • 7,664
11 votes
1 answer
898 views

How many different kinds of hands can appear in a single Texas Hold 'em game?

Texas Hold 'em is a form of poker where each player has 2 "pocket" cards, which they combine with 3 (or more) community cards from a pool of 5 to form their hand, which are then scored under ...
Tim C's user avatar
  • 2,554
3 votes
1 answer
372 views

Micropoker: small hands on deck

Raise your hand if you are ready for micropoker, which minimalistically resembles 5-card poker. The deck has just 8 cards with 2 suits of 4 cards each. A hand is dealt as 3 cards that are final, with ...
humn's user avatar
  • 21.9k
17 votes
3 answers
794 views

Mind Reading in Three-Handed Pot Limit Omaha

Alice, Bob, and Charlie are playing a game of Pot Limit Omaha. After the river card is dealt, but before the players' hands are revealed, the following conversation takes place: Alice: "My hand ...
dshin's user avatar
  • 1,533
10 votes
2 answers
2k views

Card trick: guessing the suit if you see the remaining three cards (important is that you can't move or turn the cards) [closed]

Suske, Sidonia, Lambik, and Jerom are in a room. Wiske has them each draw a card of their choice from an open standard deck of cards and lay it face up on the table. The remaining cards are set aside. ...
user avatar
-1 votes
1 answer
131 views

How do you do the card trick like the Fitch Cheney Card trick with four cards instead of five? You only need to know the suit of the card [closed]

You have four cards. The assistant takes one of the four cards away (the card that follows their tactic). The other cards stay where they are (don’t turn them, move them…). Then the magician comes in ...
Magiciangeek's user avatar
9 votes
2 answers
731 views

Pick cards from a table

2022 cards are arranged on the table in front of us. Each card shows a number that we can see. For each of the numbers from 1 to 2022 inclusive, there is exactly one card that depicts it. We have the ...
Tervor's user avatar
  • 165
3 votes
1 answer
182 views

Prove that we cannot arrange the cards according to the given rules [duplicate]

There are ten pairs of cards with the numbers 0, 0, 1, 1... 8, 8, 9, 9 written on them. Prove that they cannot be laid in a row so that there are exactly n cards between any two cards with equal ...
Hemant Agarwal's user avatar
11 votes
1 answer
930 views

Card game with equal piles

You and your friend have come up with a new two-player card game. There are 15 distinct cards numbered 1 to 15. The first player orders the cards in some order of his choice and places them face down ...
Dmitry Kamenetsky's user avatar
7 votes
2 answers
336 views

Are there truly unwinnable Calculation decks?

Calculation is a solitaire variant known for its large skill ceiling; supposedly, the large majority of games can be won by skilled human players, whereas the games to be won by uninformed play are in ...
Feryll's user avatar
  • 2,389
10 votes
2 answers
563 views

Transform a pile of cards in reverse order

There are 52 cards on a table and numbered in order from 1 to 52 with number 1 on top. The following operation can be repeatedly done: split the pile into two piles without shuffling and take cards ...
ThomasL's user avatar
  • 12.2k
5 votes
3 answers
773 views

Number of cards to be pulled

Ten cards, numbered 1-10, are randomly dealt to 2 players, A and B, such that each player gets 5 cards. Before the cards are dealt, player A will say a number N. After the cards are dealt, A will ...
Sagar Chand's user avatar
7 votes
1 answer
480 views

Twisty puzzle composed of hexagonal prisms, with As and diamonds

(click to enlarge) My friend let me have a go of his cube and neither of us know what its called or where to buy one.
Flynn's user avatar
  • 83
4 votes
2 answers
415 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 ...
math scat's user avatar
  • 1,137
5 votes
2 answers
404 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 ...
Thomas Blue's user avatar
  • 6,952
4 votes
1 answer
187 views

Spider Solitaire - maximum number of cards in a single column

What is the maximum number of cards you can have in a single column of four-suit Spider Solitaire? The diagram below has 11 cards in column 2, more than any other column. Obviously, the correct answer ...
happystar's user avatar
  • 7,664
16 votes
4 answers
871 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 ...
melfnt's user avatar
  • 5,132
8 votes
0 answers
225 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 ...
Gabriel Horn's user avatar
1 vote
0 answers
69 views

Spider Solitaire - Minimum Guaranteed Turnovers

Consider the following game-state in Spider Solitaire. Although this game is not the most popular compared to others (e.g. poker, chess, backgammon etc) I assume the reader is familiar with the basic ...
happystar's user avatar
  • 7,664
38 votes
2 answers
2k 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 ...
Stiv's user avatar
  • 144k
21 votes
1 answer
598 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 ...
Stiv's user avatar
  • 144k
24 votes
2 answers
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 ...
Woofmao's user avatar
  • 1,580
6 votes
1 answer
450 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 ...
Quintec's user avatar
  • 6,778
2 votes
0 answers
201 views

What is the name for this meta magic-trick? [closed]

In his book Intuition Pumps and Other Tools for Thinking Daniel Dennett describes a system of layering magic tricks in the following way: There are some effects—they can hardly be called tricks—...
pseudosudo's user avatar
7 votes
1 answer
912 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, ...
trolley813's user avatar
  • 11.3k
7 votes
2 answers
1k 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 ...
53x15's user avatar
  • 386
0 votes
3 answers
149 views

Approximate this big number using a binomial [closed]

Mr. Magico is a greater believer in this number: $$2^{50}=1,125,899,906,842,624‬$$ He also like to play cards, although he isn't fussy about the size of his deck, and nor does he care how many ...
JMP's user avatar
  • 35.6k
3 votes
4 answers
410 views

Hiker’s Cabin Mystery | Pt. VII

Congratulations to @GarethMcCaughan for his victory on the long unsolved Part II of this mystery! Kudos! Part VIII will hold a not-so-fun twist! Solve this one quickly, and we can get to it! New ...
Voldemort's Wrath's user avatar
5 votes
4 answers
508 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 ...
iBug's user avatar
  • 3,166
10 votes
1 answer
588 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. ...
Dr Xorile's user avatar
  • 23.6k
3 votes
4 answers
248 views

Randomly selecting cards using 6-sided dice

There is a pile of $5\leq N\leq15$ cards. $x=3$ or $6\leq N$ cards need to be randomly chosen from this pile (uniform distribution). To do this any number of $6$-sided dice can be rolled any number ...
Shuri2060's user avatar
  • 3,068
7 votes
1 answer
342 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, ...
Excited Raichu's user avatar
3 votes
1 answer
149 views

make a sum with cards

Take the numbered diamond cards in a standard deck, that is those from 2 to 10. You may use some of them to form a sum: for example 23+45=68. What is the maximum result you may obtain? I hoped there ...
mau's user avatar
  • 2,095
1 vote
1 answer
1k views

How many Dobble symbols are there? [closed]

The game of Dobble (will edit in a link later) involves a set of bespoke playing cards covered in symbols or small pictures - a dog, an arrow, a pencil, a tree etc. Each card contains eight such ...
IanF1's user avatar
  • 2,142
10 votes
7 answers
1k 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 ...
suncup224's user avatar
  • 203
1 vote
0 answers
130 views

The magic trick [duplicate]

I am here to tell you about two brothers that were doing a magic trick. But not the kind with smoke and mirrors but just a deck of cards and the magic of the human mind. Will you be able to match the ...
Ontamu's user avatar
  • 381
0 votes
1 answer
146 views

A complex problem from Garena 2017 challenge [duplicate]

The problem is quite complex and I would really like to know the solution.
Unknown's user avatar
7 votes
3 answers
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 ...
emnha's user avatar
  • 181
5 votes
1 answer
242 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 ...
user1032613's user avatar
4 votes
2 answers
2k views

98 Cards: Optimal Strategy with Rule of Ten's

I recently found the game "98 Cards" by VdH and wondered if there is an optimal strategy to play it. Rules: There is only one player. Cards with each of the numbers $2$ to $99$ are ...
Orphevs's user avatar
  • 553
4 votes
5 answers
899 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 ...
Untitpoi's user avatar
  • 2,700
3 votes
2 answers
221 views

How the best card can I choose?

Me and Varun playing a game of cards (standard deck of 52 cards). In which we distributed 5 cards to each other. Edit: We have seen each other's cards. We have to put the cards in a line one by one ...
sirajalam049's user avatar