Alicia, Ben, and Carlos are all taking the same class. Because they have different study habits, they each have a different probability of earning an A in the course: Alicia: 0.6 Ben: 0.4 Carlos: 0.7 But they don’t study together, and the professor doesn’t curve grades, so the event that each person earns an A is independent of each other person. Find the probability that Alicia and Carlos earn A’s, but Ben does not?
Probability that Alicia earns an A: P(A) = 0.6
Probability that Ben earns an A: P(B) = 0.4
Probability that Carlos earns an A: P(C) = 0.7
Hence, the probability that Alicia and Carlos earn A's, but Ben does not: [P(A)]×[1-P(B)]×[P(C)] = [0.6]×[1-0.4]×[0.7] = 0.252
Alicia, Ben, and Carlos are all taking the same class. Because they have different study habits,...