Some days ago i was playing “Settlers of Catan”, an homemade version. In this game there is an event where a players pick, randomly, a card from another player. So here is the problem: can we use the dice (six faces) to pick the card randomly? Until the opposite player has less than seven cards, […]

I have an assignment for my algorithms module that requires us, amongst other things, to find the equations for the following question. Edit – Question Updated You have n cards with pairwise different integer values from 1 to n , shuffled randomly on a pile. You pick cards from the pile, one after another, and […]

I have an exercise as follows: There is a collection of cards consisting of 52 cards (13 types and 4 colours each type). We draw 5 cards from the collection. Then what is the probability of having exactly 1 pair (pair means same colour or same type)? Thanks for any indication.

So I’m stuck on this problem. If you perform a faro out-shuffle (i.e. a perfect “riffle shuffle” where the top and bottom cards stays in place) on a pack of 52 cards ($n=26$), you can get back the original order in 8 shuffles. Call $8$ the order for $n=26$. That’s easily seen if you write […]

I enjoy the card game Set, and have come up with a few variants based on the concept of assigning card “values” to stacks of cards (that is, each stack of cards is considered equivalent to a particular card) as follows: A stack containing a single card is equivalent to that card A stack containing […]

It’s easy to calculate the probability of a straight flush when you’re dealt $5$ cards. I’d like to ask for the probability of the same when you’re dealt half the deck. I seek $P(\text{straight flush})$ of any suit. We have $52$ cards, and $26$ are dealt. A straight flush is $5$ consecutive cards of the […]

Spider Solitaire has the property that sometimes none of the cards in the final deal can “go” and so you lose, regardless of how much progress you have made beforehand. You would have known that you would lose had you seen the final ten cards before the game started. I wonder if we can calculate […]

This question already has an answer here: In the card game “Projective Set”: Compute the probability that $n$ cards contain a set 2 answers

In the game Dobble ( known in the USA as “Spot it” ) , there is a pack of 55 playing cards, each with 8 different symbols on them. What is remarkable ( mathematically ) is that any two cards chosen at random from the pack will have one and only one matching symbol . […]

Each of n persons draws a card from a shuffled deck of $k$ cards numbered from $1$ to $k$. There are at least as many cards as persons. The winner is the person who is holding the largest card. If everyone is honest, how can they mutually determine the identity of the winner, without any […]

Intereting Posts

How to calculate the local factor at the infinite place of a function field?
Ambiguity of Quotient Groups
Find the limit $L=\lim_{n\to \infty} \sqrt{\frac{1}{2}+\sqrt{\frac{1}{3}+\cdots+\sqrt{\frac{1}{n}}}}$
Find all solutions of the equality $y^2=x^3+23$ for integers $x,y$
Expression of the Hyperbolic Distance in the Upper Half Plane
Is $GL(E)$ dense in $L(E)$, when $\dim E=\infty$?
Logical Form – Union of a Set containing the Power Set with Predicate/Propositional Function
Is the Euler phi function bounded below?
History of the theory of equations: John Colson
A question regarding the Power Set Axiom in ZFC
$\sum a_n$ converges $\implies\ \sum a_n^2$ converges?
Why does the Continuum Hypothesis make an ideal measure on $\mathbb R$ impossible?
Can an ordered field be finite?
Traces of all positive powers of a matrix are zero implies it is nilpotent
Smallest and largest values of $\|\vec{v}-\vec{w}\|$