Bluebook SAT Test Probability and Conditional Probability 3

Question 1

A factory produces light bulbs; 2% are defective. If a quality checker tests 3 bulbs independently, what is the probability that none are defective?

Accepted Answer

0.9800

Answer

0.9412

Answer

0.9412

Question 2

A factory produces light bulbs; 2% are defective. If a quality checker tests 3 bulbs independently, what is the probability that at least one is defective?

Accepted Answer

0.0588

Answer

0.02

Answer

0.06

Answer

0.0400

Question 3

The two-way table shows 250 respondents by commute type and satisfaction.

Satisfied  Unsatisfied
Public transit      60           40
Personal car        90           60

What is the probability that a randomly chosen respondent uses public transit, given they are satisfied?

Accepted Answer

2/5

Answer

3/5

Answer

1/3

Answer

3/10

Question 4

Events A and B are independent. P(A) = 0.4 and P(B) = 0.3. What is P(A and B)?

Accepted Answer

0.12

Answer

0.70

Answer

0.58

Answer

0.07

Question 5

A class has 10 boys and 15 girls. Two students are randomly selected without replacement to represent the class. What is the probability that both are girls?

Accepted Answer

3/10

Answer

7/20

Answer

1/2

Answer

9/46

Question 6

In a survey of 180 people, 90 own a smartphone, 72 own a tablet, and 36 own both. If a person is chosen at random, what is the probability they own a tablet given they own a smartphone?

Accepted Answer

2/5

Answer

1/2

Answer

4/5

Answer

1/3

Question 7

A game has a 1/4 probability of winning each round. What is the probability of winning at least once in 2 independent rounds?

Accepted Answer

7/16

Answer

1/2

Answer

1/4

Answer

9/16