2024 Introduction to Probability Unit Test Review and Test 100%

The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish. How many people are in the set C ∩ D? - ANSWER 4 A coach chooses six out of eight players to go to a skills workshop. If order does not matter, in how many ways can he choose the players for the workshop? - ANSWER 28 A number cube has faces numbered 1 to 6. What is true about rolling the number cube one time? Check all that apply. - ANSWER S = {1, 2, 3, 4, 5, 6} If A is a subset of S, A could be {5, 6}. If a subset A represents the complement of rolling a 5, its sample space is A = {1, 2, 3, 4, 6}. 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? - ANSWER 86.7% Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book? - ANSWER 6/121 The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots. What is the probability of a customer buying carrots? - ANSWER 10% 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? - ANSWER E The spinner is equally likely to land on any of the five sections. What is the probability that the spinner lands on an even number or on the unshaded section? - ANSWER 3/5 Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the first initial of each person's name represents that person's position as he or she is visited by Miriam. Which shows all the outcomes for this event if she visits with Nicole first and Louise last? - ANSWER NMOPL, NMPOL, NOPML, NOMPL, NPMOL, NPOML Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group because he will be arriving late. How many ways can the instructor choose the first group of four education students? - ANSWER 330 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? - ANSWER S = {ABC, ABD, ACD, BCD} Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? - ANSWER 28 ways Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white. What is the probability that his model rocket has landed in a grassy area? - ANSWER 0.4 Which sets can be represented using the Venn diagram below? - ANSWER A = {animals}; B = {mammals} 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? - ANSWER 18 percent Consider a single spin of the spinner. Which events are mutually exclusive? Check all that apply. - ANSWER landing on a shaded portion and landing on a 3 landing on an unshaded portion and landing on a number less than 2 A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Check all that apply. - ANSWER S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If a subset A represents the complement of spinning an odd number, its sample space is A = {2, 4, 6, 8}.