In a class, we have 61 students of different majors. There are 23 chemistry majors (C), 12 math majors (M), 9 engineering majors (E), and 17 students who are undecided (U). Of these students, 4 of them have declared both math and engineering majors. A student will randomly be chosen to win a scholarship. Suppose that we decide to award three scholarships. What is the probability that the first winner is a chemistry major, the second winner is a chemistry major, and the third winner is an undecided major? (A student cannot win more than one scholarship).
a. 0.3096.
b. 1.0319.
c. 0.0398.
d. 0.9604.