Question

00 Suppose that a certain college dass contains 56 students. Of these, 31 are freshmen, 32 are business majors, and 7 are nethet. A student is selected at randem from the dass (a) What is the probability that the student is both a freshman and a business major? (b) Given that the student selected is a business major, what is the probability that she is also a freshman? write your responses as fractions. (If necessary, consult a list of formulas) BO w () X 5

Answer 1

	business major	not a business major	total
freshman	14	17	31
not a freshman	18	7	25
total	32	24	56

a) P(both freshman and Business major )=14/56 =1/4

b) P(freshman |business major) =14/32 =7/16

P(B occurs |A does not occur) =0.12/(1-0.41)=0.20