1. A plumbing contractor puts in bids on two large jobs
A plumbing contractor puts in bids on two large jobs. Let the event that the contractor wins the first contract be A and the event that the contractor wins the second contract be B. Which of the following Venn diagrams has shaded the event that the contractor wins exactly one of the contracts?
Left
Middle
Right

2. Students at University X must be in one of the class ranks: Freshman, Sophomore, Junior, or Senior. At this university, 35% of the students are Freshmen and 30% are Sophomores. If a student is selected at random, the probability he or she is either a Junior or a Senior is:
35%
65%
70%

3. Disjoint Independent Both Neither
We will roll a six-sided die twice. Consider the two events: A = Second Number is 3 B = First Number is 4 These two events are:
Disjoint
Independent
Both
Neither

4. Disjoint Independent Both Neither
We will roll a six-sided die twice. Consider the two events: A = Second Number is odd B = First Number is 4 These two events are:
Disjoint
Independent
Both
Neither

5. Disjoint Independent Both Neither
We will roll a six-sided die twice. Consider the two events: A = Sum is Greater Than 8 B = First Number is 4 These two events are:
Disjoint
Independent
Both
Neither

6. Disjoint Independent Both Neither
We will roll a six-sided die twice. Consider the two events: A = Sum is Greater Than 8 B = First Number is 1 These two events are:
Disjoint
Independent
Both
Neither

7. We will roll a six-sided die twice
We will roll a six-sided die twice. Consider the two events: A = Sum is Greater Than 8 B = First Number is 4 What is the probability of the sum being greater than 8 given that the first roll is a 4?
12/36.
3/36.
10/36.

8. The table below shows the political affiliation of 1,000 randomly selected American voters and their positions on the school of choice program Let the event D = {voter is a Democrat} R = {voter is a Republican} F = {voter favors the school of choice program}   What is the probability that a randomly selected voter who favors the school of choice program is a Democrat?
P(D|F) = 0.26
P(D|F) = 0.42
P(F|D) = 0.48
P(F|D) = 0.87

9. The table below shows the political affiliation of 1,000 randomly selected American voters and their positions on the school of choice program Let the event D = {voter is a Democrat} R = {voter is a Republican} F = {voter favors the school of choice program}   What is the probability that a randomly selected Republican favors the school of choice program?
0.12
0.19
0.33
0.36

10. The table below shows the political affiliation of 1,000 randomly selected American voters and their positions on the school of choice program Let the event D = {voter is a Democrat} R = {voter is a Republican} F = {voter favors the school of choice program}   What is the probability that a randomly selected American voter is a Republican and favors the school of choice program?    
0.12
0.19
0.33
0.36

11. Answers
C, A, B, B, D, A, A, B, C, A