Here is a table showing all 52 cards in a standard deck. Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then for a second time a card is drawn at random from the deck.

Q: If 8 different books are arranged at random on a shelf, what is the probability that a certain pair…

A: The number of books are 8.

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: From a fair deck of cards, Drawn a card three times with replacement.  That is, after each draw, put…

A: Total number of cards in a deck =52 Number of queens in the deck = 4 As it is given that a card…

Q: If a card is chosen at random from a pack of cards, what is the probability that the card is from…

A: From the provided information, Total number of cards in standard deck = 52 Total black cards = 26…

Q: A university class has 12 students that are from within the state, 15 students from out of state,…

A:

Q: A 5 card hand is dealt from a standard 52-card deck. Then the cards are replaced, the deck is…

A:

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given : n = number of cards in the  hand = 3 x= number heart card in the hand = 1

Q: A player is dealt two cards from a 46-card deck, where half the cards are black and the other half…

A: Let us denote:R1=drawing red card firstR2=drawing red card secondB1=drawing black card first…

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards.   (a) What is the probability…

A: Solution: a. An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: 2. In a 52 card deck, the first card randomly drawn is an ace. If the ace is not put back into the…

A: Deck contains 52 cards out of  which 4 are aces. Given that the ace is not put back into the deck…

Q: At a certain college, 28% of the students major in engineering, 18% play club sports, and 5 both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Suppose 6 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A:

Q: In a class of 40 students, 22 students like mathematics, 20 students like science, and 8 students…

A:

Q: Suppose that 6 cards are drawn from a​ well-shuffled deck of 52 cards. What is the probability that…

A:

Q: If two cards are selected from a standard deck of 52 cards without replacement, what is the…

A: Two cards are selected from a standard deck of 52 cards without replacement.TT

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: From the provided information, Total possible outcomes = 6 a) Total possible outcome rolling a…

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third,…

A: A single die is rolled seven times.Probability that a die rolled will land on three = 1/6Probability…

Q: What is the probability that the card drawn is a 3 or a 5, given that it is red or green?

A: A deck of 20 cards has 5 red, 5 yellow, 5 green and 5 blue cards. The five cards of each color are…

Q: A player is dealt two cards from a 36-card deck, where half the cards are black and the other half…

A: Given information: Total number of cards in the deck is n(S) = 36. The number of red cards in the…

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Here, the total number of customers is 2000. Number of customers who hold Visa is 1500 Number of…

Q: A card is drawn at random from a well shuffled pack of cards. What is the probability that it is a…

A: Solution:

Q: According to ctia, 41% of all US households are wireless-only households. In a random of 20…

A: Given, random of 20 households i.e., n=20 p=41%=0.41 q=1-p=1-0.41=0.59

Q: What is the probability that a child expected from a certain family will be: a.) a boy b.) a girl.…

A: In this case, we need to find the probability that a child expected from a certain family will be a…

Q: In a group of 150 men, 70 have played pool at least once. Suppose one of these 150 men is randomly…

A: Given that there are total 150 men.  Out of 150 men, 70 have played pool at least once.

Q: If a person draws four cards from a standard deck (without replacing them), what is the probability…

A:

Q: if a class has 2 freshmen, 1 shphomore, 3 juniors, and 5 seniors, what is the probability that three…

A: From the provided information, A class has 2 freshman, 1 sophomore, 3 juniors and 5 seniors. Total…

Q: Suppose 8 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: Solution: a. An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: a) In a deck of 52 playing cards, there are 3 face cards ( King, Queen and Jack ) in each of the 4…

Q: From an ordinary deck of 52 cards, 10 cards are selected at random, without replacement. If exactly…

A: The problem is similar of drawing 6 cards out of 39 cards and these 39 cards have 13 spades.…

Q: A draws a card from a well-shuffled pack of 52 cards, B tosses a fair coin, and C rolls a 6 faced di…

A: Given data, A draws a card from well-shuffled pack of 52 cards B tosses a fair coin C rolls a 6…

Q: Suppose you shuffle a deck of cards and set it down on the table. (c) What is the probability that…

A:

Q: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: If 35% of cows in a herd have Mad Cow disease, and a rancher randomly selects 7 cows, what is the…

A:

Q: If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a…

A: It is given that, Two cards are drawn from the deck. Total number of cards in a deck=52 Total number…

Q: If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that (a)…

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

Q: Of one card is drawn from a standard deck of cards, what is the probability that the card will be a…

A:

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given that only one of the cards in the hand is a queen​.  So 1 card among the 3 cards is a queen.…

Q: In a secondary school, 58% of students who is studying in an art course have purchased a drawing…

A: We have to find given probability.

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Probability is calculated by dividing the number of favorable event divided by the total sample…

Q: All the face cards from a standard deck are put in a hat and stirred. Two cards are drawn from the…

A: Total number of face cards in a deck = 12 Number of queens in the deck = 3 Number of cards that are…

Q: A 5-person basketball team consists of a point guard, a shooting guard, a forward, a power forward,…

A: a. P [selecting a complete team] = 0.2x0.25x0.33x0.5x1 = 0.00825 If a point guard is chosen from one…

Q: A poll is given, showing 80% are in favor of a new building project. If 8 people are chosen at…

A: Given that, A poll is given, showing 80% are in favor of a new building project. Sample size, n = 8

Q: The probability that a person will have 0, 1, or 2 dental checkups per year is 0.3,0.6 , and 0.1,…

A: if there are m no. of event with probability p1,p2,....pm and if we carry out Experiment with N…

Q: Suppose you randomly choose 4 cards from a standard 52 card deck. (a) What is the probability that…

A: Giventotal no. of cards=52

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. ​(a) What is the probability…

A: An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are non-face cards. 7…

Q: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

A:

Q: From a standard deck of cards, a card is taken randomly. What is the probability  that it is a spade…

A: As per our guidelines we are suppose to answer only one questionGivenTotal no.of cards in a deck =…

Q: One card is drawn at random from a well shulfied pack of 52 cards. What is the probability that it…

A:

Q: In a group of n people, (a) what is the probability that two or more persons will have the same…

A: In a group of n people, We need to find the probabilities:- a). Two or more persons will have the…

Q: If a single die is rolled four times, what is the probability it lands on 4 on the first, second,…

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.