Unit Test

Question 1

three

Revolt · Accepted Answer

S: S = {1, 2, 3, 4, 5, 6}; I: If A is a subset of S, A could be {5, 6}.; I: If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.

Question 2

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.What is the approximate probability that a student chooses a computer elective and an art elective?

Revolt · Accepted Answer

C: 0.22727

Question 3

A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated.What is the approximate probability that the first digit will be 6?

Revolt · Accepted Answer

C: 0.11111

Question 4

Information about how the students at Vista View High School got to school this morning is shown in the table.

Revolt · Accepted Answer

1: 114

Question 5

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.

Revolt · Accepted Answer

A: A and B are independent events because P(A∣B) = P(A).

Question 6

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?

Revolt · Accepted Answer

D: The events “takeout” and “dine-in” are independent.

Question 7

A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.What is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?

Revolt · Accepted Answer

A: 0.114

Question 8

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?

Revolt · Accepted Answer

B: 330

Question 9

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.

Revolt · Accepted Answer

C:

Question 10

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?

Revolt · Accepted Answer

C: 10.0 percent

Unit Test Answers

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