The Multiplication Rule for Dependent Events Answers

A researcher randomly selected 158 personal vehicles and noted the type of vehicle and its color. The two-way table displays the data.Suppose a vehicle is randomly selected. Let event C = convertible and R = red. What is the value of P(R|C)?

A researcher randomly surveyed 122 college professors to determine what types of courses they teach and their sleeping habits. The two-way table displays the data.Suppose a survey respondent is randomly selected. Let M = professor teaches math and B = professor is an early bird. What is the value of P(B|M)?

According to a recent survey of adults, 38% say the almond is their favorite nut. The adults were also asked where they lived. Of the 19% of those who responded that they live in California, 40% chose the almond as their favorite nut.Is liking almonds independent of residency?

A researcher randomly selects 165 vehicles and sees how many miles each car has been driven and the color of the vehicle. The two-way table displays the data. Suppose a vehicle is randomly selected. Let M = the vehicle has been driven many miles and B = the vehicle is blue.

A recent survey of people who eat salad suggest that 78% like tomatoes on their salad, 49% like cheese on their salad, and 36% like both tomatoes and cheese on their salad. Suppose a person who eats salad is selected at random, and find they like cheese on their salad. What is the probability that the person also likes tomatoes on their salad?

A recent survey found that 65% of high school students were currently enrolled in a math class, 43% were currently enrolled in a science class, and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?

A researcher randomly selects 95 high school swimmers and asks them which swim stroke is their strongest and which bathing suit brand they prefer, brand A or brand B. The two-way table displays the data. Suppose one of the students is randomly selected. Let B = the student prefers brand B and F = the student’s strongest stroke is freestyle.

A researcher randomly sampled 222 high school students to determine their favorite color and whether or not they played a sport. The two-way table displays the data.A randomly selected student who participated in the survey is selected. Let event S = the student plays a sport and let event B = favorite color is blue, green, or purple. What is the value of P(B|S)?

The following two-way table shows the distribution of high school students categorized by their grade level and book-type preference.

A department store’s survey suggests that 76% of shoppers buy food, 49% buy clothes, and 28% buy both food and clothes. Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?