In a class of 150 incoming freshmen nursing students, 65 are taking Mathematics, 70 are taking Biology, 60 are taking English, 45 are taking both Mathematics and Biology, 35 are taking both...

In a class of 150 incoming freshmen nursing students, 65 are taking Mathematics, 70 are taking Biology, 60 are taking English, 45 are taking both Mathematics and Biology, 35 are taking both Mathematics and English, 25 are taking both Biology and English, and 20 of them are taking all three subjects. What is the probability that: (a) the student takes Mathematics only, (b) the student takes Biology only, (c) the student takes English only, (d) the student takes Mathematics or Biology, (e) the students takes Biology or English; and (f) the student did not take all of the subject?