Bluebook SAT Test Probability and Conditional Probability 10

Question 1

A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?

Accepted Answer

1/3

Answer

1/6

Answer

1/2

Answer

2/3

Question 2

A survey of 300 adults found that 180 own a car, 120 own a bike, and 60 own both. What is the probability a randomly selected adult owns a car but NOT a bike?

Accepted Answer

1/3

Answer

2/5

Answer

2/3

Answer

3/10

Question 3

A factory has two machines. Machine 1 produces 60% of items; Machine 2 produces 40%. Machine 1 has a 5% defect rate; Machine 2 has a 10% defect rate. What percent of all items are defective?

Accepted Answer

7%

Answer

5%

Answer

6%

Answer

8%

Question 4

Two cards are drawn from a 52-card deck without replacement. What is the probability both are aces?

Accepted Answer

1/221

Answer

1/169

Answer

4/663

Answer

1/13

Question 5

The two-way table shows 240 students by grade and preferred study location.

Library   Home
Grade 11          60       80
Grade 12          40       60

Given a student is in Grade 12, what is the probability they prefer the Library?

Accepted Answer

2/5

Answer

1/4

Answer

5/12

Answer

1/3

Question 6

A bag contains 4 red and 6 blue tokens. One token is drawn, its color noted, and it is returned. This is repeated a second time. What is the probability of drawing a different color each time?

Accepted Answer

12/25

Answer

24/50

Answer

6/25

Answer

8/25

Question 7

In a group of 50 athletes, 30 play basketball and 25 play soccer. If 10 play both sports, what is the probability a randomly chosen athlete plays at least one sport?

Accepted Answer

9/10

Answer

1

Answer

4/5

Answer

17/20