8. Suppose that Isabel is taking three courses. She believes that she has a9 pro

Question

8. Suppose that Isabel is taking three courses. She believes that she has a9 probability of earning an A grade in course E, a.6 probability of earning an A grade in course F, and a 3 probability of earning an A grade in course G. Assume that whether or not Isabel earns arn A grade is independent from course to course. a) Determine the probability that Isabel earns an A grade in all 3 courses. (Here and throughout, show your work.) b) Determine the probability that Isabel earns an A grade in courses E and F but not in course C.

Explanation / Answer

a) P(Isabel earns an A grade in all 3 courses) = 0.9 * 0.6 * 0.3 = 0.162

b) P(Isabel earns an A grade in courses E and F but not in course G) = 0.9 * 0.6 * (1 - 0.3) = 0.378

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