Unit Test — Unit test Answers

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Three out of seven students in the cafeteria line are chosen to answer survey questions.How many different combinations of three students are possible?

Question illustration
A
7
B
35
C
70
D
210
22
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The two-way table shows the number of books of each type in Eliza’s home.What is the probability that a randomly selected reference book is hardcover?

Question illustration
A
0.25
B
0.4
C
0.6
D
0.75
23

Evaluate the expression.4! • 3!

A
12
B
30
C
144
D
5,040
24

Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books.What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

A
StartFraction 1 Over 289 EndFraction
Option A
B
StartFraction 10 Over 289 EndFraction
Option B
C
StartFraction 5 Over 136 EndFraction
Option C
D
One-tenth
Option D
25

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

A
The probability that event B occurs is 17%.
B
The probability that event B occurs is 83%.
C
The probability that event A occurs, given that event B occurs, is 83%.
D
The probability that event B occurs, given that event A occurs, is 83%.

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