Tagged Questions
12
votes
2answers
179 views
A card game with no decisions
A friend showed me a mindless card game he plays, in which the initial state of the deck completely determines whether he wins or loses. The game is played as follows:
Shuffle a standard $52$ card ...
1
vote
1answer
28 views
Find the probability of having 3 cards of the same suit and 2 cards of the same suit in a 5 card hand from a standard 52 card deck? (Method)
I'm trying to understand why my method doesn't work to answer the question: What is the probability of having 3 cards of the same suit and 2 cards of the same suit (but a different suit than the first ...
0
votes
1answer
23 views
Odds of being dealt 4 particular cards out of 106 in a 6 card hand
I was playing a card game called Mille Bornes with my daughter. She dealt a hand while I was getting a cup of coffee in the other room. I came back and we started playing. She immediately played the ...
0
votes
1answer
63 views
Probability of hitting a 'bomb' in a memory-like game
I came across a casino-like game a few days ago where there is a playing field of face-down cards of 5x5 cards. Out of these 25 cards, 5 are 'bombs'. The player bets a fixed amount of money at the ...
2
votes
3answers
97 views
Probability of having exactly 1 pair from drawing 5 cards
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 ...
1
vote
1answer
93 views
Probability question involving sets of cards
I have an infinite deck built out of sets of 10 cards (in other words 10*n cards). The sets are identical so one '2' is identical to another '2'.
A player draws 6 cards. If he draws:
any '1' AND a ...
5
votes
3answers
101 views
Dealt 3 cards. Odds of being dealt any pair?
This is not to aid a gambling habit. I am simply curious how to do this math.
You get dealt 3 cards. What are the odds of having any pair? (We can exclude 3 of a kind)
Total number of hands = ...
0
votes
0answers
39 views
Number of elementary shuffling operations to produce deck with no $k$ cards in same order?
The requirement for "suitably shuffled" is that no $k$ cards appear in same order in $D$ and $D'$.
Elementary shuffling operations are defined, very simply, as :
Interleaving. Split deck in ...
6
votes
3answers
85 views
Removing a card while preserving “shuffled-ness”
Suppose you have a deck of numbered cards (possibly with multiple copies of each number), perfectly shuffled, and you want to extract certain cards without disturbing the "shuffled-ness" of the ...
4
votes
1answer
65 views
How to calculate the role of chance (vs strategy) in a card game?
I recently played two different card games with a friend: 500 Rum and Lost Cities (modified to use a regular deck of cards). We started arguing about which game was more subject to chance. I realized ...
1
vote
3answers
77 views
Pick a card from a set with the help of a dice
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 ...
3
votes
3answers
70 views
Calculate Probability : A bridge deck of Cards
From a bridge deck of $52$ cards, we draw $13$. What is the probability
that we have $5$ spades in our hand?
I think that there are $\dfrac{52!}{13! \cdot 39!}$ ways we can choose $13$ cards. ...
2
votes
1answer
149 views
Probability involving cards, using negative binomial and hypergeometric distributions
I'm working on the following problem, and I don't really know how to approach it!
It has 3 subsets:
You randomly take one card at a time from a deck, with replacement. How many 'draws' are needed to ...
1
vote
1answer
73 views
A card is drawn from 52 cards. What is the probability that the second card is a face card?
A card is drawn from 52 cards. What is the probability that the second card is a face card? I hope the question is clear.
I believe the answer to be as follows...
Two cases -
Case 1: First card ...
2
votes
1answer
61 views
Probability of cards without combinatorics
5 cards are dealt from a well shuffled standard deck of cards. What is the probability of getting 2 kings and 2 jacks?
I started by evaluating each choice in turn. Probability that the first card is ...
9
votes
1answer
232 views
Losing at Spider Solitaire
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 ...
5
votes
1answer
86 views
Derangements with repetitive numbers
Hi to all i have a very simple problem
Lets assume that i have a well shuffled deck of 52 cards.
I start drawing the top card always and when the card matches it's rank i lose. J=11 Q=12 K=13
If ...
3
votes
1answer
171 views
Game Theory Matching a Deck of Cards
Moderator Note: This question is from a contest which ended 1 Dec 2012.
Suppose we have a deck of cards labeled from $1$ to $52$. Let them be shuffled in a random configuration, then made ...
1
vote
2answers
83 views
Probability doubt for a card game
I'm creating AI for a card game, and I run into problem calculating the probability of passing/failing the hand when AI needs to start the hand. Cards are A, K, Q, J, 10, 9, 8, 7 (with A being the ...
2
votes
2answers
52 views
Poker probability conundrum
You deal your friend five cards from a standard shuffled deck. He looks at his hand and says either "Oh! I have at least one $X$!" or "I don't have any $X$s," where $X$ is the name of a rank. Your ...
0
votes
1answer
43 views
Poker communication problem
You've been dealt five cards from a standard deck, and you wish to communicate the exact contents of your hand. The catch is that you're only allowed to make utterances of the form "I have an $X$" or ...
2
votes
2answers
65 views
Cards and numbers
There are $10$ cards on which numbers from $1$ to $9$ are written. Number $8$ is written twice, other numbers - only once. Cards are pulled in the random order.
What is the probability that $9$ ...
0
votes
1answer
92 views
Conditional probability within a poker hand
Given a 5 card poker hand from a standard deck, I'm looking to calculate the probability of getting: all 1 suit, 2 different suits, 3 different suits or 4 different suits, with the additional ...
3
votes
2answers
1k views
Probability for #suits in 5 card poker hand
Given a 5 card poker hand from a standard deck, I'm looking to calculate the probability of getting: all 1 suit, 2 different suits, 3 different suits or 4 different suits.
All one suit is ...
-1
votes
1answer
46 views
Please help me will the following probability question
Consider a game that involves flipping over cards from a standard 52 card deck. What is your probability that a) at least one of the first two cards is a spade b) draw a king of diamonds in 5 pick.
...
3
votes
1answer
50 views
What are the chances that a particular suit shows up at least once in the first two cards?
A standard deck of 52 cards. It seems obvious that the probability of getting a particular suit (say diamonds) on the first try is 13/52. After that, if we do not get diamonds, our chances are 13/51. ...
0
votes
1answer
166 views
Probability with cards
Consider a game with 24 cards with 4 suits and 6 ranks: 2,3,4,5,6,7 and lets say 5 cards are dealt to 4 people (jim, joe, mary, fred) also the other four cards are unused.
I am trying to find out the ...
3
votes
2answers
703 views
How to calculate a fullhouse after dealing 5 cards?
In case you are not familiar with a fullhouse, it is when you have XXXYY (three of a kind + a pair).
I am not that good calculating odds, but after time I manage ...
1
vote
1answer
96 views
Expected length of a game of Kings
The game of Kings is a drinking game played with a standard 52-card deck. The rules are irrelevant to the nature of this question; we only wish to calculate the expected length of a game of Kings. The ...
8
votes
2answers
371 views
Probability with card game
I need help calculating the chances of winning this strange game that I'm going to explain right now:
...
0
votes
1answer
82 views
Calculate the average number of cards of a certain suit in my opponent's hand
Let's suppose that I am playing a card game with 3 other friends. One of my friends is on my team while the other 2 people are on the opposing team. The cards have just been shuffled and dealt so ...
5
votes
1answer
482 views
The probabilty of a new arrangement of 52 cards deck?
I just read this article, it claims that if you just shuffle a 52 card deck, you will mostly be creating an arrangement that no human have ever seen before.
But this doesn't seem right since every ...
1
vote
1answer
86 views
A probability problem [duplicate]
Possible Duplicate:
Card probability problem
The following question was asked on a closed online forum. I think the correct answer is 1/2, however the ...
1
vote
1answer
85 views
Newly Invented Card Game Hand Ranking
What would single-deck 2-card poker rankings/probability be for the following hands.
(Deal 2 cards)
Hands
Royal Flush - Ace King Suited
Pair
Straight Flush - Any consecutive suited
Flush - Any ...
1
vote
2answers
107 views
Why is this term required for a probability about drawing cards from a deck
Five cards are drawn from a standard deck (not replaced). Determine the probability of drawing exactly 3 hearts and 2 diamonds.
The expression for the probability is:
...
8
votes
3answers
3k views
What is the probability that a solitaire game be winnable?
By "solitaire", let us mean Klondike solitaire of the form "Draw 3 cards, Re-Deal infinite".
What is the probability that a solitaire game be winnable? Or equivalently, what is the number of ...
1
vote
2answers
88 views
Help calculating the probability of dealing a custom deck of cards
Imagine a deck that consists of two types of cards. There are 2 type A cards and 9 Type B cards, totaling 11 cards. Assuming that 1 card will be dealt to 5 players. What are the probabilities that ...
1
vote
2answers
288 views
non-routine application of inclusion-exclusion
What are the circumstances when inclusion-exclusion can't be routinely applied, and some adjustments have to be made ?
This question arises from a problem of finding the probability of getting a ...
1
vote
1answer
550 views
A bridge hand void in one suit
A bridge hand consists of 13 cards from a standard deck of 52 cards.
What is the probability of getting a hand that is void in exactly one suit, ie consisting of exactly 3 suits ?
1
vote
2answers
156 views
A question in Probability, aces drawn from two halves of a shuffled deck
"A deck of cards is shuffled and then divided into two halves of 26 cards each. A card is drawn from one of the halves, it turns out to be an ace. The ace is then placed in the second half-deck. The ...
0
votes
3answers
135 views
From a mathematical point of view is it optimal in no limit texas hold em to play with more money than less?
I noticed the other time a friend of mine went to a casino and bought in 100 dollars for a 1-2 table. Other players had heavier buy ins. I have received two opposing arguments. One says that buying in ...
2
votes
2answers
185 views
Very simple poker holdem question
N holdem hands (just 2 cards from a standard 52 cards deck) are dealt to N players
How to compute the probability that:
-exactly k players have a pair ( Two cards of the same value e.g.: 7, 7).
...
1
vote
1answer
55 views
Completely stuck: probability of handing out cards a certain way
After handing out 5 cards to each player, what is the probability that, given that Mr. A has exactly 1 ace, none of the other 3 players have more aces than Mr. A?
I figured the probability of ...
1
vote
2answers
158 views
Conditional Probability
In a $13$ card hand, given that a person has one ace, what is the
probability that person has more than one ace?
In a $13$ card hand, given that a person has the ace of spades, what is
the ...
11
votes
3answers
544 views
A question about Poker (and probability in general)
Okay, so I've been thinking about this question for a long time, and I'm starting to think that there isn't an answer. So please read the question, and if there is an answer, tell how you came to it, ...
4
votes
2answers
305 views
How are TV Texas holdem poker percentages worked out
I watch with some mild interest on TV the poker games when I have little better to do at night. And I notice these guys playing Texas Holdem Poker.
My question is, the TV has beside each players name ...
3
votes
2answers
1k views
average number of moves needed to complete a game of FreeCell
Sometimes finishing a game of FreeCell takes me 10 minutes, other times just one minute.
I know that all but one of the FreeCell deals in windows can be won, but I'm not sure if they are random or ...
3
votes
3answers
154 views
How do you calculate the odds getting a single pair in Texas Hold 'Em?
Given that I am dealt one card, what are the odds that I will then make a pair either from the next card dealt to me or from the river of 5 cards played out?
I'm thinking something like: given I have ...
7
votes
3answers
1k views
Failing to guess each card in a deck
Consider the situation from this video. Cards from a normal playing deck are dealt out one at a time while the player guesses what the number of the card is not (suit is ignored). To be clear, the ...
4
votes
4answers
292 views
A combinatorial card problem
Suppose you have a standard bridge deck of 52 cards. We will say you "have a pair" if you have two consecutive cards in the deck with the same rank (2,3,4,5,6,7,8,9,10,J,Q,K,A). If a deck is ...
