Conditional Probabilities — Unit test Answers

A burrito restaurant recorded 200 customer orders. Each order was categorized by whether it was takeout or dine-in and whether it was placed on a weekday or a weekend.The results are shown below: Using this table, decide which statement about independence is true. Which statement is correct?

Which statements are true? Select three options.

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag.Which expression represents the probability that one of the marbles is red and the other is blue?

Consider the following sets.U = {all triangles}E = {x|x ∈ U and x is equilateral}I = {x|x ∈ U and x is isosceles}S = {x|x ∈ U and x is scalene}A = {x|x ∈ U and x is acute}O = {x|x ∈ U and x is obtuse}R = {x|x ∈ U and x is right}Which is a subset of I?

At a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. The manager also noted that 40% of customers order food. For customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. What is the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item?

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen?

The spinner is equally likely to land on any of the five sections.

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug.To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers?

A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the probability that a randomly selected pair of jeans with front pockets also has back pockets?

Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class.

The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on Saturday is 60 percent.What is the probability that it will rain on Wednesday and on Saturday?

The following two-way table shows the distribution of a random sample of travelers and their preferences for accommodations and method of travel.

A researcher randomly selected 132 high school students and asked them about their study habits and lighting preference when studying. The two-way table displays the data. Suppose one of the students is randomly selected. Let L = the student prefers low light and S = the student sometimes studies.Which of the following is the correct value and interpretation of P(S|L)?