The tag has no wiki summary.

learn more… | top users | synonyms

0
votes
0answers
10 views

would the following game be beatable with martingale

I want to mix 2 games with weight on game one 51.5% and 48.5% on game two player will be presented with 3 coins and he will be asked to click on 1 of the 3 coins and then all 3 coins are turned ...
1
vote
0answers
28 views

When does it become impossible to lose a game of FreeCell?

After spending more time than I should playing FreeCell, I've been wondering about the following: At what point in the game does it become impossible for someone to lose? "losing" probably isn't ...
0
votes
4answers
55 views

Probability of 5 card hand

You have a $5$ card hand from randomly shuffled standard deck of $52$ cards: $X$ - Event that hand exactly contains $1$ spade $Y$ - Event that hand exactly contains $1$ ace How do I calculate $P(X ...
0
votes
2answers
29 views

Probability - 5 card hand

Question is : You have a 5 card hand from randomly shuffled standard deck of 52 cards. P - Event that hand exactly contains one spade. Q - Event that hand exactly contains one ace. Calculate : a. ...
3
votes
3answers
99 views

What's the probability of a straight in $5$ card poker given $5$ and $7$ of hearts?

Using a standard $52$ card deck, if you are given the $5$ and $7$ of hearts from it, what is the probability that you end up with a straight if $3$ additional cards from that same deck are given to ...
0
votes
2answers
58 views

Probability dealing a deck of cards. Need helps! [closed]

There are 10 cards in a box that each has its number from 1 to 10. The cards number 1,2,3 and 4 have prize of 1000, 500, 200, 300 cent respectively, the other don't. Tom choose 2 cards randomly and he ...
1
vote
1answer
28 views

Help understanding the Expected Value equation when applied to poker

I don't play or follow poker, (just thought I'd declare that), but found it interesting from speaking to a few people that do that their way of calculating the Expected Value, $E(x)$, didnt account ...
3
votes
2answers
40 views

Is it possible to get the largest conceivable score in Hearts?

I should explain the necessary rules: in the four-player game of Hearts, the object is to get as few points as possible. The points you receive are determined by the cards you pick up through a hand: ...
0
votes
0answers
30 views

Overall probability of winning a card hand, given the probabilities of what the other player has

I am creating a program that deals out the cards for Texas hold em, and I have calculated the probability with two players, given the 5 community cards, and the 2 cards in my hand, what the ...
3
votes
3answers
60 views

Card Game Probability 13 Card Hand

Me and my friends play a four person poker style card game. Each person is dealt 13 cards, and it is a standard trump card game. Now, as the standard, a five card flush beats a five card straight, but ...
1
vote
1answer
42 views

Deck of Cards Probability Question - Probability of Getting At Least 2 Queens

There was actually another question like this but the final answer a person mentioned was incorrect and I was confused as to how he got it. Can any answers explain how they got there? I'd like to ...
1
vote
0answers
25 views

Poker Hand Probabilities in Doomtown Reloaded

The short version of my question is as follows: What is the best way to compute the probability of different hand ranks after redraw in poker? Can this easily generalise to a non-standard deck? ...
0
votes
2answers
59 views

Probability that at least 1 of the 3 bridge hands is void of clubs given… [closed]

A bridge hand is dealt so each of 4 players has 13 cards from the 52 card deck. You have 8 clubs in your hand. What is the probability that at least one of the other three hands is void in clubs?
4
votes
3answers
94 views

How many perfect shuffles are needed to go back to initial state?

The other day, in a popular-science book, I saw: Given 32 cards ($c_i$ for $i=0..31$), cut the deck into two parts and shuffle them the American way (riffle shuffling). The deck now looks like: ...
1
vote
3answers
74 views

Draw 4 cards where: 3 cards same suit and remaining card of different suit

Four cards are drawn from a standard 52-card deck without replacement. Find the probability that exactly 3 cards are of the same suit and the remaining card is of a different suit. What I did: ...
0
votes
1answer
24 views

Chances of a shuffled deck being sorted only by color

QUESTION (TL;DR) Let's assume you are handed a deck of 52, standard cards which are already shuffled. You take the the deck and mindlessly shuffle it for a few minutes. After the shuffle, you turn ...
-1
votes
0answers
11 views

eucre game requires 4 players, arrange 12 players at 3 tables

eucre game requires 4 players, arrange 12 players at 3 tables without having a player stay at the same table twice in a row, how many rounds can be played before everyone is partnered only once? all ...
0
votes
1answer
31 views

Counting number of two pair hands in poker (not standard)

I was doing number counting problem and wanted to check if my result was correct. Problem description: From a standard deck of cards(52 cards, 4 suits, 13 numbers in each suit) there are 5 cards ...
4
votes
2answers
157 views

Probability of a minimum sum of card values when drawing cards from a custom deck

Apologies if this question has been answered -- I tried searching for an answer but wasn't sure what terminology to use. Suppose I have a deck of cards, consisting of $n_1$ ones, $n_2$ twos, etc. ...
0
votes
0answers
66 views

Game theory: Bidding strategy during an auction in a card game

I'm trying to create a mathematical model for the auction process in a card game called Pitch. The specific question I'm interested in solving is: Let $p_i$ represent the probability of a specific ...
0
votes
1answer
47 views

A Probability Game of Bridge Problem and Its Puzzling Correct Answer

In my effort to work on my probability and combinatorics skills before the semester starts, I have come across this problem: What is the probability that a bridge hand will contain 13 cards of the ...
7
votes
1answer
148 views

The Day Camp Stacking Game

My friend works at a day camp as a counselor and he told me about an interesting game he plays with his group of kids. You have a perfectly shuffled, regular $52$-card deck and a group of $2 \leq n ...
2
votes
1answer
78 views

Minimum number of out-shuffles required to get back to the start in a pack of $2n$ cards?

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 ...
2
votes
2answers
104 views

Probability of Getting a “Perfect Score” in the Card Matching Game Concentration

A person is playing the card matching game concentration. There are 40 cards, 20 pairs total. All the cards are shuffled and placed at random face down. A turn consists of two moves and a move is ...
0
votes
1answer
41 views

Straight in 52cards+2Joker

I have 52card (ace to king) + 2Joker I'm supposed to compute how much straights of 5 cards I can make, excluding the straight flushes (straights with all cards being the same color) My reasoning is : ...
1
vote
3answers
32 views

How Many Hands Having 3 Cards of a Kind are There?

The conditions are as follows: Standard 52-card deck, 4 suits. 5-card hand. There must be three of a kind, but only this (i.e., no 4 of a kind or full house). I know this has been asked already, ...
0
votes
0answers
34 views

Optimal strategy in a simple card game

So some friends and I are playing this simple card game. We choose 15 random cards from a normal deck of card and lay them on a table in a pyramid shape. 5 cards in the bottom row, 4 in the next row ...
1
vote
2answers
50 views

How to get the number of ways of getting a five card hand that is a straight flush from a standard deck of cards

I do not get the result at this page, ex. 13-7: Suppose that Aces can be either high or low; that is, that {Ace, 2, 3, 4, 5} is a straight, and so is {10, Jack, Queen, King, Ace}. The number of ...
2
votes
2answers
57 views

probability in cards that 4 people each get queen and king?

A 52 card deck is shuffled and then dealt out to 4 people (each person gets 13 cards). What is the chance that each person gets an a Queen AND King? My attempt: I know theres $\binom{52}{13}$ ...
0
votes
2answers
31 views

randomly choosing from a deck of cards

Suppose I have a deck of 26 black and 26 red cards. I randomly choose 26 cards from this deck and I look at the first two cards. What is the probability that both cards are black? I think the ...
1
vote
0answers
69 views

Finding the 'best' way in a card-arrangement-game

Let $n\ge 2\in\mathbb N$. Suppose that we have a card on which $1$ is written, a card on which $2$ is written, $\cdots$ , and a card on which $n$ is written. Now these $n$ cards are arranged from left ...
6
votes
3answers
283 views

Card Problem from Gardner

The following problem is from aha! Insight by Martin Gardner. On a draw of $n$ cards from a deck without replacement, what is the probability that seven of the $n$ cards all have the same suit? ...
9
votes
0answers
174 views

What is the chance of obtaining 27 sets in the card game Set?

For people not familiar with the card game Set, see its entry on Wikipedia and/or one of the related questions here on Math SE. It might be faster to just play the game a couple of times though, see ...
5
votes
3answers
85 views

Weird Card Game Problem

I feel like I know what game this is mimicking but I cannot put my name on its title: There are two players in the game (one is Even, the other is Odd). Even starts off with 30 blank cards, and Odd ...
2
votes
2answers
66 views

Interesting combinatorics question

As a child I had a deck of cards which consisted of maybe 50 cards. On each card there were 6 objects. Players had to pick 2 cards from the deck, and the player who first spotted the difference ...
0
votes
1answer
73 views

Probability of getting all four aces playing with 13 people

There are thirteen people sitting on a table. The dealer deals them a card each from his full deck(52 cards). He repeats this until all of his cards have been used. What is the probability that one of ...
2
votes
3answers
152 views

Probability of 5 cards drawn from shuffled deck

Five cards are drawn from a shuffled deck with $52$ cards. Find the probability that a) four cards are aces b) four cards are aces and the other is a king c) three cards are tens and ...
1
vote
2answers
2k views

Playing Cards probability problem

From a pack of 52 playing cards, three cards are drawn at random.Find the probability of drawing a king , a queen and jack.?
14
votes
5answers
5k views

Probability Discrepancy in drawing 2 cards from a Deck of 52

A colleague and I are having a hard time figuring out this probability question and was wondering if anyone could provide an explanation / insight into it. The question is simple: what is the ...
1
vote
0answers
187 views

Card combinatorics problem

Suppose we have a standart deck of cards. It is fixed and can have maximally 52 cards, but may be less. Also we have several subsets of this deck, each subset consist either of all cards of the same ...
2
votes
2answers
356 views

What's the probability of a 5 card hand is dealt 4 Kings, given that the hand has the King in Spades and Hearts?

What's the probability of a 5 card hand is dealt 4 Kings, given that the hand has the King in Spades and Hearts? Here's my attempt: E= KKKK_ F= KK_ _ _ so $P(E) = 48/(\phantom{}_{52}C_5)$ and ...
2
votes
1answer
81 views

How many 13-card hands contain seven cards of one suit?

How many 13-card hands contain seven cards of one suit? (My intuition is $\displaystyle \frac{13!}{7!6!} \cdot 4$) I may be wrong. please correct me
1
vote
1answer
84 views

Card game: How much will you pay to gamble?

You turn over the cards 2 at a time, if they are both red, you keep the cards, if they are both black I keep the cards. If one is red and the other is black then neither you nor I get a card. If you ...
4
votes
2answers
154 views

Is it possible to be “too good” at Spider Solitaire?

There was a similar question here: Losing at Spider Solitaire However, what I'm asking is different. The game has a rule that it would not deal the next ten cards, unless there is already a card in ...
1
vote
2answers
204 views

Probability and Snap

I have a question about a modified (/simplified) version of the card game Snap: There are 20 playing cards, such that each card has a number from 1...10, so there are 2 cards with each number. The ...
1
vote
1answer
108 views

Card game question with conditional probability

If I have a standard deck of 52 cards with ace being 1 and jack being 11, queen 12, and king 13. I know the expected value of any card I draw to be 7. However, how does this change with each ...
0
votes
1answer
137 views

Card game question

In a game where we have a normal 52 card deck. Two cards are delt out at a time, if both are red, then I keep the two cards. If both are black, you keep the two cards. If its one of each, then it gets ...
0
votes
3answers
63 views

One card is dealt to each of the 6 players. What are the odds of having a game where nobody has a trump card vs only one person having a trump card?

The trump is picked last by picking one card from the remaining deck. A player has a trump card if it's of the same type as the trump card (ex. picked trump is 2 of clubs, player has 10 of clubs). ...
1
vote
1answer
44 views

Expressing game mechanic in mathematical form

I have encountered a game mechanic that takes repeated arithmetic to figure out, so I was wondering if it could be made simpler by finding an equation to solve. In this game, there are resources that ...
2
votes
1answer
95 views

Probability of picked cards to be smaller than the largest picked card

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 ...