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It is assumed that Clment is a student at the University of Ottawa enrolled in Fall 2021 in three Mathematics courses: A: Linear Regression, B:

It is assumed that Clment is a student at the University of Ottawa enrolled in Fall 2021 in three Mathematics courses: A: "Linear Regression", B: "Applied Linear Algebra" and C: "Introduction to Probability". The estimates of his chances of success are: P(A) = 0, 75; P(B) = 0, 80; P(C) = 0, 75; P(A B) = 0, 65; P(A C) = 0, 60; P(B C) = 0, 65; and P(A B C) = 0, 55.

1. What is the probability that Clement will only validate Linear Algebra applied this Fall? 2. What is the probability that Clment will validate exactly two courses in Mathematics this Fall?

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