Bluebook SAT Test Probability and Conditional Probability 5

Question 1

A two-way table records 400 employees by department and satisfaction level.

Satisfied  Neutral  Dissatisfied
Engineering        80       40            30
Marketing          60       60            50
Operations         40       20            20

What is the probability a randomly selected employee is from Marketing and Dissatisfied?

Accepted Answer

1/8

Answer

5/40

Answer

1/10

Answer

1/4

Question 2

P(A) = 0.6 and P(A and B) = 0.18. If A and B are independent, what is P(B)?

Accepted Answer

0.30

Answer

0.18

Answer

0.42

Answer

0.78

Question 3

A box has 3 red, 5 white, and 2 black balls. One ball is drawn and not replaced; then a second is drawn. What is the probability the second ball is red, given the first was white?

Accepted Answer

1/3

Answer

3/10

Answer

3/9

Answer

1/4

Question 4

A game wheel has 4 red, 3 blue, and 1 green section. A player spins twice. What is the probability of getting green both times?

Accepted Answer

1/64

Answer

1/8

Answer

1/16

Answer

3/64

Question 5

In a class of 25 students, the probability that a randomly chosen student plays guitar is 0.32. What is the expected number of guitar players?

Accepted Answer

8

Answer

7

Answer

6

Answer

10

Question 6

The two-way table shows 500 people by exercise frequency and BMI category.

Normal BMI  High BMI
Exercise daily        180        70
Rarely exercise        90       160

What fraction of people with a Normal BMI exercise daily?

Accepted Answer

2/3

Answer

9/10

Answer

3/5

Answer

18/27

Question 7

A bag has 7 green and 3 yellow tokens. Two tokens are drawn with replacement. What is the probability of drawing one of each color?

Accepted Answer

42/100

Answer

21/50

Answer

3/10

Answer

49/100