In poker, a flush is a five-card hand in which all cards are from the same suit hearts, diamonds, spades, or clubs. Given a randomly drawn 5-card hand from a standard 52-card deck, how many different flushes are possible? Hence find the probability that a randomly chosen 5-card hand is a flush. Leave your answer in terms of n!, "Cr, and/or "P,.

Q: A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

A: Given  A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) =   ? b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability that the hand…

A: It is given that a five-card poker hand is dealt from a standard deck of cards. Since, in a standard…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: If you draw one card from a deck of 12 cards, numbered 1 through 12, what is the probability you…

A:

Q: The probability that a one, two, or six will appear face up on the throw of one die is

A: Suppose one die is rolled. Then its sample space is written as, S=1, 2, 3, 4, 5, 6

Q: A researcher wants to test three different techniques for lowering blood pressure in people who have…

A: Null hypothesis: There is no difference between means. Alternative hypothesis: There is difference…

Q: In the game of poker 5 cards are drawn from a pack of 52 well- shuffled cards. Find the probability…

A:

Q: A card is chosen from a deck of 52 cards. It is put back in the deck and a second card is chosen.…

A: Solution: A standard deck of contains 4 ace cards and the number of cards numbered 5 are 4. Here,…

Q: Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second…

A: no.of black cards=26no.of Ace cards=4Total no.of cards=52

Q: Three cards are randomly selected from the deck of 52 cards. What is the probability that the cards…

A: Given data: Three cards are randomly selected from the deck of 52 cards. To find : What is the…

Q: A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the…

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a…

A: We know thatThere are 52 cards in the deck divided into two colour i.e red(26) and black (26). These…

Q: Given a deck of cards of cards.  Choose five cards without replacement.  Determine the probability…

A: In a given deck of 52 cards, the objective is to find the probability that of the obtained 5 cards…

Q: A card is drawn from a pack of 52 cards. Find the probability of getting a jack of spade or a queen…

A: Given,A card is drawn from a pack of 52 cardsWe have to find the probability of getting a jack of…

Q: Find the probability of getting three of a kind when playing five card poker

A: Given Playing 5 card poker

Q: If you are dealt 3 cards from a shuffled deck of 52​ cards, find the probability that all 3 cards…

A: Total number of queen cards is 13 and the total number of cards is 52.

Q: random from a standard 52-card deck. What is the probability of drawing a black card or a 10?

A: Given that A card is drawn at random from a standard 52-card deck. Total number cards in a deck (n)…

Q: Compute for the total frequency X 0< x < 2 2<2<4 4<x<8 8<x< 10 frequency 9 21 f

A: The endpoints of a class interval which is used for tally marking the given values are called Class…

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a club.

A:

Q: Suppose five cards are drawn from a deck. Find the probability of obtaining the indicated cards.A…

A: Since, all the five cards must be of same color. So taking the favorable conditions from half of the…

Q: Suppose five cards are drawn from a deck of cards. Find the probability that all five cards are…

A: It is known that, Number of cards in a deck = 52 Number of heart cards = 13

Q: Suppose that in a particular game two dice are tossed. If the two dice sum to nine or eleven, the…

A: Total number of possible outcomes while tossing two coins =36 Total possible events for sum to nine…

Q: Four cards are drawn at random from a pack. Find the probability that they are a King, a Queen, a…

A: Since we know that in standard pack of card there are 52 cards  And in standard deck of 52 cards…

Q: In the game of poker 5 cards are drawn from a pack of 52 well-shuffled cards. Find the probability…

A: It is known that Total cards in a deck = 52 Number of aces = 4 Sample size = 5

Q: If you are dealtm 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability that the card is a…

A: There are 26 black cards in the deck (13 spades and 13 clubs), and there are four 5s in the deck (5…

Q: A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card…

A: GivenTotal no.of cards in a deck = 52No.of king card in a deck = 4No.of ace cards in a deck =4

Q: Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a…

A: Number of 4 cards is 4 and number of jack = 4  So total favourable cases = 8  And total cards = 52

Q: A card is drawn at random from a pack of 52 playing cards. Find the probability that the drawn card…

A:

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.