Question

Find P (Sophomore|Boy) Hint: P(A and B) P(B) Classroom of Students Boys Girls Freshman 4 4 8 Sophomores 7 12 Junior 2 3 5 Senior 4 5 12 18 Reduce your fraction to lowest terms. Enter the number that belongs in the green box. Enter​

Answer 1

5/12

Explanation:

Here, we want to select the probability that the selected student is a sophomore given that he is a boy

In this case;

P(B) = P(boy)

P(A) = P(sophomore)

What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30

From the table;

P(B) = 12/30

P(An B) = 5/30

So;

P(A|B) = 5/30 divided by 12/30

= 5/30 * 30/12 = 5/12