Question

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.

Step 1

Given 50% of students enrolled in buisiness statitics course enrolled in finite math course.

among them 30% recieved an A in statistics and 20% of other half of students received A in statistics course.

Showing as tree diagram representing the given question.

Step 2

So here we need to select the path that a student who took finite math course and did not get A in statistics. Here the path is shown in red line.

Step 3

So here  the path that a student who took finite math course and  got A in statistics is shown in red line.

So here  the path that a student who did not took finite math course and  got A in statistics is shown in blue line.

So here  the path that a student who took finite math cour...

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