Question

[b] In an engineering campus, there are 400 first year students. 270 students
study Electrical Engineering, 300 students study Mechanical and
Manufacturing and 50 takes the Aerospace Engineering. Those studying
Electrical Engineering also study Mechanical and Manufacturing, 20
takes Electrical Engineering and Aerospace Engineering while 35 takes
Mechanical and Manufacturing and Aerospace Engineering. If one of
these students is selected at random, find the probability that

(i) The student takes Mechanical and Manufacturing, but not
Aerospace or Electrical Engineering.

(ii) The student takes Mechanical and Manufacturing but not
Aerospace.

(iii) The student takes Mechanical and Manufacturing or Aerospace
Engineering but not Electrical Engineering.

(iv) The student takes Mechanical and Manufacturing or Aerospace
Engineering.

Answer 1