Survey in a Student Activity Participation Study (SAPS) survey, 30 engineering majors, 25 business majors, 20 science majors, 15 liberal arts majors, and 10 human development majors were selected. Ten of the engineering, 12 of the science, 6 of the human development, 13 of the business, and 8 of the liberal arts majors selected for the study were female.
(a) What is the probability of selecting a female if one person from this group is selected randomly?
(b) What is the probability that a student selected randomly from this group is a science major, given that she is female?