My math problem is:  50% of the students enrolled in a business statistics course had previously taken a finite math course. 30% of these students received an A for the statistics course, whereas 20% of the other students received an A for the statistics course. What is the probability that a student selected at random received an A in the statistics course? There is a tree diagram representing the problem shown above, and the first part of the problem is selecting all of the paths that satisfy the event, which are: -Students who had previously taken a finite math course and did not receive an A in the business statistics course. -Students who had previously taken a finite math course and received an A in the business statistics course. -Students who did not previously take a finite math course and received an A in the business statistics course. -Students who had previously taken a finite math course and received an A in the finite math course. -Students who did not previously take a finite math course and did not receive an A in the business statistics course.   I'm having trouble figuring out which ones are true.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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My math problem is: 

50% of the students enrolled in a business statistics course had previously taken a finite math course. 30% of these students received an A for the statistics course, whereas 20% of the other students received an A for the statistics course. What is the probability that a student selected at random received an A in the statistics course?

There is a tree diagram representing the problem shown above, and the first part of the problem is selecting all of the paths that satisfy the event, which are:

-Students who had previously taken a finite math course and did not receive an A in the business statistics course.

-Students who had previously taken a finite math course and received an A in the business statistics course.

-Students who did not previously take a finite math course and received an A in the business statistics course.

-Students who had previously taken a finite math course and received an A in the finite math course.

-Students who did not previously take a finite math course and did not receive an A in the business statistics course.

 

I'm having trouble figuring out which ones are true.

 
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