student statistics course at a local university often have a lot of required homework but the professor has noticed a relationship between that do the home and the students that pass the course here is what the professor has discovered

20% of the students do the required homework if the students do the required homework there is a 80% chance the student will pass the course 30% of the time the student will pass the course even if they do not do the required homework what is the probability that a student passes the course?

a. 0.60

b.0.04

c.0.40

d.0.24

e.0.16