A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) for a total of 52 cards.  In a typical game of poker, you are deal five cards (without replacement) from a deck of 52 cards.  How likely are these five cards to be of the same suit (a flush)? Round to four decimal places. Hint: First, find the probability they are all the same particular suit (say, all Diamonds) then multiply that answer by 4 (the total number of suits).   A. .2500 B. .0020 C. .0005 D. 1287

Q: Iow many different 5 card hands can be dealt from a deck of 52 cards? our answer is :

A: In the given question, concept of Combination is applied. Combination A combination is a…

Q: A woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1 shirt, 1 skirt,…

A: Provided data is, woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1…

Q: How many possible combinations are there if there are 6 players and each player can either have 2…

A: We have given, Total number of players are n=6. And each player have 2 possible outcomes i.e. r=2.

Q: deck of cards has 2 black, 5 green, and 6 blue cards. You pick 2 cards from the deck. Cards are…

A:

Q: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

A:

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: In a poker game, a player is dealt a 9 card "hand" from a deck of 52 distinct cards. How many…

A: Total number of distinct cards are 52 Number of cards to be chosen are 9 Given the cards are…

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Solution-: This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: If a 8 card hand is dealt from an ordinary 52 card deck, in how many of those hands are all 8 cards…

A:

Q: Five people ​(AntoineAntoine​, Byron​,Chloe​,Dennis​,and Emily​)form a​ club, N=​{A, ​B, C,​ D,…

A: The odds against is the ratio of the number of ways that an outcome cannot occur to the number of…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: The number of combinations of 4 card from the set of 52 cards is, n=C452=52×51×50×494×3×2×1=270725

Q: how many five card poker hands consist of a four of a kind?

A: In a standard deck of cards, there are 52 cards in total out of which there are 13 different…

Q: In how many ways can one person, one weapon, and one room be chosen?

A: 1. Total ways = 6*6*9 = 324 6 ways for person, 6 ways for weapon, and 9 ways to select one room

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: Given that, The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards Order…

Q: Visualize three playing cards adjacent to one another. A five is just to the right of a three, and a…

A: There are three playing cards adjacent to one another. The answer is attached below.

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given,Total no.of cards=52no.of club cards=13no.of hearts=13

Q: the game of Cribbage, players are each dealt 6 cards from a standard deck of 52 cards.  How many…

A: Given that  In the game of Cribbage, players are each dealt 6 cards from a standard deck of 52…

Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

Q: Using a standard deck of 52​ cards, how many 4​-card hands contain all heart

A: using stanadard deck of 52 cards ,total outcomes:n=52 cards we have to find out  that 4 card hands…

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given information: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards.…

Q: Suppose that you and a friend are playing cards and decide to make a bet.  If you draw three twos in…

A: Given that  If you draw three twos in succession from a standard deck of 52 cards without…

Q: Question: Suppose that a fair coin is tossed 360 times with the results of the tosses regarded as…

A: # random variable x be the no of head obtained follow binomial distribution (n=360,p=1/2) then using…

Q: A poker game requires players to draw a card and roll a die. The combination of card and die will…

A: Let there be x types of item A and y types of item B . Then, the number of different combinations of…

Q: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

Q: An ordinary deck of cards contains 52 cards divided into four suits. The red suits are diamonds (+)…

A: It is given that there are totally 52 cards in an ordinary deck.

Q: How many five-card hands have exactly two Queens?

A: The total cards in a deck = 52 Total queens = 4 There will be two of the four queens, and three…

Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…

A: Given,total no.of students=14

Q: How many 13-card hands dealt from a standard deck will have exactly seven spades?

A: A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear…

Q: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…

A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.