75 of students study for a statistics test 50 of students st

75% of students study for a statistics test. 50% of students study at least 3 hours and do all the homework. Find the probability that a student does all the homework given that he studied at least 3 hours for the test.

Solution

Let

S = study
H = does homework

Thus, we find

P(H|S) = P(H n S) / P(S)

= 0.50/0.75

= 0.66666667 [ANSWER]