All Questions
Tagged with card-games puzzle
16
questions
2
votes
1
answer
257
views
How many ways can I pick a size $3$ set from $\{1, 2, 3, 4, 5, 6, 7, 7, 7\}$ such that at least one is odd?
I am trying to solve the following puzzle:
I have nine cards, where six of them are labelled $1$ through $6$ and the remaining three are indistinguishable and labelled with 7. Calculate the number ...
- 1,027
0
votes
0
answers
59
views
2 dice -> 9 cards
Alice has two standard dice with labels 1 thru 6. When she rolls them and adds their labels, she gets a distribution over integers in [2, 12]. Bob has nine cards, each labeled with some real number. ...
- 305
0
votes
0
answers
52
views
Tetrahedral pancake problem game.
I am currently playing around making a little puzzle game and was looking for some input from people better at maths than me. It is based on the pancake problem.
You have a stack of $8$ "pancake&...
- 11
1
vote
0
answers
195
views
Puzzle: Good card of 2021*2021 cards of 2021 colors
Assume there are 2021 kinds of colors, and for each color, we dye 2021 cards with this color. Now we put these 2021*2021 cards in a straight line. We define a card as "good" card, if the ...
- 113
1
vote
1
answer
789
views
Solvability of a 9-card puzzle game with a similar concept as a rubik's cube
I challenged myself to create a card game that simulates the experience of solving a 3x3 Rubik's cube. I have a first prototype but I'm now stuck at knowing if every random initial state will be ...
- 13
3
votes
2
answers
313
views
Aces and eights game
The following is an exercise from the book: Reasoning about Knowledge by R.Fagin, J.Y. Halpern, Y. Moses, M.Y. Vardi.
I have been trying for some time to crack it but still unable to find a simple ...
- 1,066
1
vote
1
answer
662
views
Recompute expected value of the sum of value of five face down cards when the lowest value card is replaced by a new face down card
Recently I heard of this puzzle/riddle type question that was asked in an application interview and I am unable to solve it. The problem is as follows
Stage 1: The interviewer holds a regular deck of ...
- 775
5
votes
1
answer
873
views
Estimate number of cards needed to be drawn from deck before full house
Imagine we have a well-shuffled deck of cards and we keep drawing cards until there is at least one full house in the drawn cards. How many cards will we draw on average? I would be interested in both ...
- 133
1
vote
1
answer
375
views
What is the minimum amount of moves it takes to finish this game?
This is a follow up question from this post which I asked. The previous question was answered by Barry Cipra, and I was suggested to create this follow up question.
The Game:
Two players have $...
- 524
3
votes
2
answers
231
views
Interesting Riddle about a Game with Playing Cards
Let me list the game and then I will pose my question.
A game called finding Ace is described as follows.
Given a pack of 13 cards of the same suit picked from a shuffled deck, we are going to find ...
- 31
1
vote
1
answer
189
views
Determining opponents card magic trick
You have a standard pack of $52$ cards.
Your opponent takes $5$ cards at random from the deck and hands them to your partner.
Your partner looks at the cards and gives you $4$ of the cards one at a ...
- 423
3
votes
1
answer
136
views
Mathematical puzzle - same probability of given card type for any number
Let's create a card game with any number of red and black cards.
First I'm creating any number of decks containing chosen number of red or black cards. I shuffle them.
Then I want to draw N cards ...
- 133
-1
votes
1
answer
217
views
find minimum number of card which is needed to perform trick
some one ask you to choose number between $1$ and $n$ both inclusively
then he shows you some card having one of more element and asks whether the card contains your chosen number or not after showing ...
- 139
0
votes
2
answers
239
views
In the card game "Projective Set": Compute the probability that $n$ cards contain a set
In the game of Projective Set, it turns out that any seven cards contain a projective set. For fewer than 7 cards, how can we determine the probability that one or more sets exist (in terms of the ...
- 83
4
votes
1
answer
368
views
In the card came "Projective Set", show that 7 cards do always contain a set. [duplicate]
In the game of Projective Set, it turns out that any seven cards contain a projective set. How can one prove this? And for fewer than 7 cards, how can we determine the probability that one or more ...
- 83