Bluebook SAT Test Probability and Conditional Probability 4

Question 1

A bag has 6 yellow, 4 purple, and 2 orange candies. One candy is drawn at random. What is the probability it is purple or orange?

Accepted Answer

1/2

Answer

1/3

Answer

2/3

Answer

1/4

Question 2

The table shows 360 students by gender and extracurricular activity.

Sports  Arts  Neither
Male          80    40       40
Female        60    80       60

What is the probability that a randomly selected student does arts, given the student is female?

Accepted Answer

2/5

Answer

1/3

Answer

4/9

Answer

2/9

Question 3

Two events A and B satisfy P(A) = 0.5, P(B) = 0.4, and P(A or B) = 0.7. Are A and B mutually exclusive?

Accepted Answer

No, because P(A and B) = 0.2 ≠ 0

Answer

Yes, because P(A and B) = 0

Answer

Cannot be determined

Answer

Yes, because P(A) + P(B) = 0.9

Question 4

Of 50 shirts, 20 are blue and 15 are large. If 8 are both blue and large, what is the probability a randomly chosen shirt is blue but NOT large?

Accepted Answer

3/10

Answer

2/5

Answer

12/50

Answer

1/4

Question 5

A die is rolled. What is the probability of rolling a 3, given that the result is odd?

Accepted Answer

1/3

Answer

1/6

Answer

1/2

Answer

2/3

Question 6

A student randomly selects one question from a test bank of 40 questions: 16 algebra, 14 geometry, and 10 statistics. What is the probability of selecting an algebra or statistics question?

Accepted Answer

13/20

Answer

2/5

Answer

7/20

Answer

3/5

Question 7

A school surveys 100 students. 55 like math, 45 like English, and 20 like both. What is the probability a randomly selected student likes exactly one subject?

Accepted Answer

3/5

Answer

4/5

Answer

1/4

Answer

2/5