Questions tagged [cards]

For puzzles centered around playing cards.

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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.
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 ...
5 votes
1 answer
240 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 ...
13 votes
2 answers
2k 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 ...
4 votes
5 answers
893 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 ...
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 ...
8 votes
1 answer
281 views

Named after - card puzzle

(this is a picture puzzle) Hint is -'Named after'
4 votes
1 answer
502 views

In the three-card monte, can a logical principle be applied to increase the odds?

Assuming the game is played without cheating, in the three-card monte, can a logical approach increase the player's chance of beating the house? At first glance it would seem to be unlikely but a ...
18 votes
6 answers
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, ...
7 votes
4 answers
2k 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 ...
16 votes
10 answers
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). ...
4 votes
3 answers
614 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 ...
11 votes
5 answers
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 ...
4 votes
2 answers
363 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 ...
3 votes
1 answer
198 views

Gambling with the gambler [closed]

You are walking on the street and notice a guy gambling with some other guys and you start to watch. The game principle is pretty easy. There is a standard 52-card deck and it is being shuffled every ...
4 votes
3 answers
2k views

In a Guess The Color game, what's the optimal strategy?

Here's a one-player card game: We begin with a shuffled card deck The player try to guess the color of the card at the top (black or red) If the player guess right, he can keep the card. Else the ...
9 votes
1 answer
239 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 &...
15 votes
1 answer
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 ...
5 votes
1 answer
1k views

Optimal game of Bluff (not the wikipedia one)

Rules Basics 52 well shuffled cards are dealt equally to both players. Player 1 starts the first hand. The game consists of a number of rounds, which are played as follows. On each round, players ...
10 votes
3 answers
1k 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 ...
5 votes
2 answers
360 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 ...
6 votes
3 answers
465 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 ...
17 votes
8 answers
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 votes
7 answers
3k 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 ...
9 votes
2 answers
237 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....
-2 votes
5 answers
5k views

How many Questions will you need to Guess the Card?

Suppose your friend grabs a random card from a deck. Now you can ask questions about that card. You can only ask yes/no and greater/less than questions. How many questions do you need to determine the ...
7 votes
1 answer
819 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 ...
3 votes
3 answers
968 views

A poker player, a telepath and a clairvoyant

There are three poker players, who are playing heads-up against each other. One of them is a usual poker player. Another - a telepath, who can read thoughts. So if you know your cards, he knows them ...
4 votes
2 answers
1k 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 ...
5 votes
6 answers
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 ...
10 votes
3 answers
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,...
7 votes
2 answers
6k 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 ...
-1 votes
3 answers
219 views

Who is the liar?

Three friends are playing a game of memory, there are a total of 20 cards with 10 card pairs. They try to make the most pairs in a row, after everyone had a turn they make the following statements: ...
2 votes
4 answers
1k views

4 player card game, who has advantage? [closed]

Edit for "off topic" "correction". I don't know why this question was considered "off topic". It seemed to draw a lot of attention. The "puzzle" was to figure out which person has the advantage ...
4 votes
1 answer
339 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 ...
7 votes
2 answers
924 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 ...
6 votes
2 answers
578 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 ...
13 votes
4 answers
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, ...
8 votes
2 answers
2k 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 ...
10 votes
2 answers
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 ...
3 votes
3 answers
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 ...
-1 votes
3 answers
1k views

Inheritance by cards [duplicate]

An old farmer passes away in his sleep. After a suitable period of mourning, his three sons find their father's will in his study. Amongst other, simpler bequests is the following: "I wish my small ...

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