Quantitative methods for determining probabilities

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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

a. What is the probability of getting an A on the paper?
b. What is the probability of getting an A on the exam?
c. What is the probability of getting an A in the course?
d. Are the grades on the assignments independent?
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Solution Preview

Event Probability
A on paper and A on exam .25
A on paper only .10
A on exam only .30
A on neither .35

a. What is the probability of getting an A on the paper?

Since there’s a 0.25 probability of getting an A on both assignments and a 0.10 probability of getting just an A on the paper, then there’s a 0.35 probability of getting an A on the paper. Just add the two probabilities together.

b. What is …