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. Eight of the engineering, 7 of the science, 9 of the human development, 10 of the business, and 9 of the liberal arts majors selected for the study were female. (Enter your probabilities as fractions.)
(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?
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