5.42 Discussion with students In a statistics class of 30 students, 20 students are from the business program and 10 students are from the science program. The instructor randomly select three students, successively and without replacement, to discuss a question.

a. True or false: The probability of selecting three students from the business program is 12/32 * 12/32 * 12/32. If true, explain why. If false, calculate the correct answer.

b. Let A = first student is from the business program and B = second student is from the business program. Are A and B independent? Explain why or why not.

c. Answer parts a and b if each student is replaced in the class after being selected.