There are two more assignments in a class before its end, and if you get an A on at least one of them, you will get an A for the semester. Your subjective assessment of your performance is
Event Probability
A on paper and A on exam .25
A on paper only .10
A on exam only .30
A on neither .35
Q1. What is the probability of getting an A on the paper?
Q2. What is the probability of getting an A on the exam?
Q3. What is the probability of getting an A in the course?
Q4. Are the grades on the assignments independent?