Suppose That 60% of the Students Do Homework Regularly

Multiple Choice

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly?

A) 0.286
B) 0.857
C) 0.143
D) 0.429