The enrollment in a certain course is 10% first year students, 30% sophomores, 40% juniors, and 20% seniors. Data from previous semesters shows that the likelihood for receving an A in the course is 0.2 for first-year students, 0.4 for sophomores, 0.3 for juniors, and 0.1 for seniors. Find the probability that at student who receives an A is a sophomore. Solution Probability will be 0.4* 0.3 =0.12.