Suppose Dan has 3 black hats, 5 blue hats, and 1 gray hat. He also has 6 black rings, 3 blue rings, 4 red rings, 5 gray rings, and 2 green rings. If he randomly chooses a hat and a ring, what is the probability that the hat is blue and the ring is red? Give your answer as an exact fraction and reduce the fraction as much as possible

Q: A pet store has 14 ​puppies, including 5 ​poodles, 5 ​terriers, and 4 retrievers. If Rebecka and​…

A: Given information: The pet store has 14 puppies. Among 14 puppies, 5 are poodles, 5 terriers and 4…

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth…

A: Total golfers= 10 eighth graders= 6 Probability of selecting eighth graders= 6/10

Q: A student guesses the answers to seven multiple-choice test questions that each have two choices.…

A:

Q: 1. If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Events A & B are said to be mutually exclusive if P(A and B) =0

Q: Suppose a jar contains 11 red marbles and 17 blue marbles. If you reach in the jar and pull out 2…

A: It is given that Number of red marbles = 11 Number of blue marbles = 17 Total = 28

Q: There are 15 M&M’s in a bag: 6 red, 5 blue, 3 green, and 1 yellow. If you draw a green M&M first and…

A:

Q: A group of people were asked if life exists elsewhere in the galaxy. 270 responded "yes", and 478…

A: Probability= n(E)/n(S) Where  n(E)= number of possible events n(S) = total number of possibilities.…

Q: Suppose that a certain college class contains 49 students, Of these, 27 are juniors, 24 are…

A: a) It is given that, there are 49 students in a class, among which 27 are juniors, 24 are…

Q: Suppose that a certain college class contains 44 students. Of these, 19 are sophomores, 27 are…

A: Given, The event S is defined as the student is a sophomore and event E is defined as the student is…

Q: f you randomly select a letter from the phrase "Mathletes rule the world," what is the probability…

A: If you randomly select a letter from the phrase "Mathletes rule the world," to find what is the…

Q: Suppose that Alan is taking a multiple choice quiz where there are 3 choices for each question.…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: A group of people were asked if life exists elsewhere in the galaxy. 271 responded yes", and 486…

A: Given: Number of people that responded yes = 271 Number of people that responded no = 486 Total…

Q: At a certain hospital, 40 patients have lung cancer, 25 patients smoke, and 20 have lung cancer and…

A: Given: At a certain hospital 40 patients have lung cancer ,  25 patients smoke and  , 20 patients…

Q: A combination lock to a safe containing valuable jewels is opened with a 3 number sequence. If there…

A: Hello! Thank you for the question. You did not mentioned about 'with replacement and with out…

Q: Suppose we select, without looking, one marble from a bag containing 4 red marbles and 15 green…

A:

Q: A bag with 8 marbles has 2 red marbles, 3 blue marbles, and 3 yellow marbles. A marble is chosen…

A: We have given that 8 marbles has 2 red marbles, 3 blue marbles and 3 yellow marbles.

Q: A pet store has 12 ​puppies, including 5 ​poodles, 2 ​terriers, and 5 retrievers. If Rebecka and​…

A: Explanation:There are total 12 puppies. When there is no constraint, Rebecka can select any of the…

Q: John has 2 coins, one fair and the other unbalanced so that the probability of its coming up tails…

A: For Fair coin : P(H) = P(T) = 1/2 For Unbalanced coin : P(T¯) = 2/3 P(H¯) = 1/3

Q: Kyle is shopping at a mall where there are 11 clothing stores, 3 home goods stores, and 5…

A:

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

A: Suppose that a card is drawn from a well-shuffled deck of 52 cards. Calculate the probability of…

Q: A box contains 3 plain pencils and 1 pen. A second box contains 9 color pencils and 3 crayons.…

A: Given A box contains 3 plain pencils and 1 pen. A second box contains 9 color pencils and 3 crayons.

Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: We have 2 red balls 1 blue ball 2 white balls   Total balls=5 Let R= Red , B= Blue , W= White…

Q: Suppose that a certain college class contains 37 students. Of these, 19 are seniors, 21 are biology…

A:

Q: (A) Suppose that in a population of rabbits, 1 out of every 10 individuals is considered "slow" and…

A:

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 9 freshmen. Exactly 4 of…

A: Given : seniors = 6 juniors = 10 fresmen = 9 sophomores = 11 total = 36 4 juniors are female that…

Q: Suppose that a certain college class contains 36 students. Of these, 19 are freshmen, 23 are…

A: Solution: Let A be the number of student is a freshmen and B be the event that the students is a…

Q: Sara draws the 44 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: The first card drawn is '4 of hearts'. Since one card is drawn and not replaced, the total number of…

Q: A bag contains 9 green marbles, 2 white marbles, and 4 red marbles. A marble is removed and then…

A: Answer - A bag contains 9 green marbles, 2 white marbles, and 4 red marbles. Total = 9 + 2 +4 = 15.…

Q: A student was surveying whether or not his classmates liked boba or not. Of the 17 sophomores in the…

A: Given: Total sophomores are 17(13 liked boba 4 didn't), total freshmen are 16(7 liked boba 9…

Q: In a class of 65 students, 20 are nursing majors, 16 are parents, and 5 of the nursing majors are…

A:

Q: A pet store has 10 puppies, including 4 poodles, 2 terriers, and 4 retrievers. If Rebecka selects…

A:

Q: A bag contains 1 red marble, 1 green marble, and 1 blue marble. (a) Create a table to show the…

A: step1:Given thatBag contains 1 red, 1 green and  1 blue marblespining have 4 equal region of…

Q: Logan, James, Andrew, and Eddie have a jelly bean collection. Together, they have 40 flavors. If…

A: Introduction: There are N = 40 flavors, from which, n = 4 flavors are to be chosen.

Q: contains

A:

Q: A box contains 2 plain pencils and 6 pens. A second box contains 7 color pencils and 5 crayons.…

A: Let Event A- First box selected, Event B- Second box is selected Event P- Plain pencil is selected,…

Q: If you roll a fair 6 sided die and then flip a fair coin, what is the probability that you roll a 1,…

A: Answer is explained below-

Q: A 10-sided fair die and a 20-sided fair die are rolled. What is the probability of showing a 5 on…

A: Solution: From the given information, a 10-sided fair die and a 20-sided fair die are rolled.

Q: 1. Two seniors, one from each government class are randomly selected to travel to Washington, D.C.…

A: There are 18 students in the Wes's class. One student will be selected. Total number of ways…

Q: In a game where only one player can win, the probability that Jack will win is 1/2 and the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. If…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Total number of cards in a deck = 52 Number of diamond cards = 13 Number of 2 number cards = 4 The…

Q: 2. On a bookshelf there are 6 mysteries, 8 biographies, and 6 romance novels. If you are choosing…

A: Probability of an event is defined as the chances of happening of that event. Probability is 1 when…

Q: Find the probability of getting  3  face cards (king, queen, or jack) when  3  cards are drawn from…

A:

Q: 1. A florist is going to make a five flower arrangement from the following flowers: a lily, a rose,…

A: Given five flowers are: a lily, a rose, a carnation, a daisy, a dahlia, and an iris. Therefore, the…

Q: At a certain hospital, 16 patients have lung cancer, 10 patients smoke, and 8 have lung cancer and…

A:

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A:

Q: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing…

A: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing…

Q: Suppose that a card is drawn from a well-shuffled deck of 52 cards. W a) Ajack b) An ace or a 7 c) A…

A:

Q: Two cars are drawn From a standard deck of cards, and one of the two cards is noted and removed.Find…

A: Given that two cards are drawn from a standard deck of cards and one of the cards is noted and…

Q: 1. If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Note: As per my policy i can answer only one question. kindly repost the remaining one Given data A…

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth…

A: P[8th grader chosen for 1st team]= 210 P[8th grader chosen for 2nd team] = 49

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.