3. How many ways can a full deck of 52 cards be arranged so that all...
In how many ways can a standard deck of 52 cards be shuffled so that the first 13 cards are all spades (there are only 13 spades in the deck)?
Five cards are to be chosen from a standard 52-card deck. In how many ways can this be done if… a. All of the cards are clubs? b. There are three clubs and two spades? c. What is the probability you get 4 Aces and 2 Kings?
4. Playing poker, you are dealt five cards from a deck of 52 playing cards. (Remember there are 4 suits (spades, hearts, diamonds, clubs) of 13 cards in each suit (A,K,Q,J,10,9,8,7,6,5,4,3,2).) What is the probability of being dealt at least one Ace in those first 5 cards? (without replacement) _________________ 5. Six books are randomly stacked on a desk. What is the probability that they will, by chance, be perfectly stacked in alphabetical order? ______________ 6. A group of 10...
Consider a regular deck of cards with 52 cards in total. (1) How many ways can we have a poker hand of 5 cards? (2) Four of a kind is a poker hand that contains all four cards of one rank and any other (unmatched) card. For example, 94 949 9♡ JA is a "four of a kind”. How many ways can we have "four of a kind" ? (3) In a poker hand of 5 cards, what's the probability...
A deck of cards contains 52 cards. They are divided into four suits: spades, diamonds, clubs and hearts. Each suit has 13 cards: ace through 10, and three picture cards: Jack, Queen, and King. Two suits are red in color: hearts and diamonds. Two suits are black in color: clubs and spades.Use this information to compute the probabilities asked for below and leave them in fraction form. All events are in the context that three cards are dealt from a...
7. Contains the letters AC together in any order. (3 points) An ordinary deck of 52 cards consists of four suits many (unordered there? (2 points) clubs, diamonds, hearts, spades, how ) four-cards poker hands, selected from an ordinary 52-card deck, are 8. 7. Contains the letters AC together in any order. (3 points) An ordinary deck of 52 cards consists of four suits many (unordered there? (2 points) clubs, diamonds, hearts, spades, how ) four-cards poker hands, selected from...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
A standard card deck consists of 52 cards, divided into four groups of 13 cards (called suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠)). In each suit, the cards have 13 different "faces": A,2,3,4,5,6,7,8,9,10, J, Q, K. (a) in how many ways can I select five cards from the deck? (b) in how many ways can I select five cards from the deck, if all cards must belong to the same suit? (c) in how many ways can...
Problem 52: We deal from a well shuffled 52-card deck. How many different ways can you deal 13 cards so that there are no king cards among the first 12?
1. From a standard deck of 52 cards, how many 5-card poker hands are there, that have at least 3 spades? (Hint: divide the problem in cases: a poker hand has 3 spades, 4 spades, 5 spades.)