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Amid students in a certain Capstone group, 60% have taken Linear Algebra, 50% have taken Calculus...

Amid students in a certain Capstone group, 60% have taken Linear Algebra, 50% have taken Calculus 3, and 30% have taken both. What portion of the students… a. If someone took Calculus 3, what is the probability that he/she took Linear Algebra too? b. If someone took Linear Algebra, what is the probability that he/she took Calculus 3 too?

Math   Statistics-And-Probability   
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Answer #1

Let us denote the events

A: a randomly selected student has taken Linear Algebra

B : a randomly selected student has taken Calculus 3

Given

a)  If someone took Calculus 3, the probability that he/she took Linear Algebra too is

b) If someone took Linear Algebra, the probability that he/she took Calculus 3 too is

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