The Multiplication Rule for Dependent Events — Quiz Answers

Which staff member is represented by label 1 in the tree diagram?

Which probability is represented by label 4 in the tree diagram?

Which probability is represented by label 3 in the tree diagram?

Which order is represented by label 1 in the tree diagram?

In July in Virginia, the temperature can quickly rise above 90 degrees Fahrenheit, which can also lead to thunderstorms. The probability that the temperature will rise above 90 on a randomly chosen day is 0 point 6 8 , and the probability of thunderstorms is 0 point 2 9 If the temperature rises above 90 degrees, the probability of a thunderstorm is 0 point 5 6 What is the probability that the temperature rises above 90 degrees and there is a thunderstorm on a randomly chosen day in July?

A high school math class has 28 students: 18 seniors and 10 juniors. What is the probability that four randomly selected students will be seniors?

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55 percent chance they will get a B or higher on the tests. If they do not study, there is a 20 percent chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60 percent of students study for the tests. What is the probability that a randomly selected student studies for a test and gets a B or higher?

Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0 point 8 They also determined the probability that she will give a pop quiz when she checks homework is 0 point 6 , and the probability that she will give a pop quiz when she does not check homework is 0 point 9 What is the probability that the students will have their homework checked and take a pop quiz on a randomly chosen day?

A local pet groomer accepts walk-in customers. From experience, the groomer has determined that the probability that a walk-in customer will get a full-service grooming, which includes a bath and nail trimming, is 0 point 7 1 The probability that a walk-in customer will get a haircut for their pet is 0 point 4 2 The probability that customers who get the full-service grooming will also ask for a haircut is 0 point 2 8 What is the probability that a walk-in customer will ask for both a full-service grooming and a haircut?

A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45 percent of customers get the basic wash, 35 percent get the classic wash, and 20 percent get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10 percent of customers who get the basic wash, 25 percent of customers who get the classic wash, and 60 percent of customers who get the ultimate wash also vacuum their cars. What is the probability that a randomly selected customer will get the classic wash and vacuum their car?