Please help:

In a student community, 30% of the students own a car and 50% of the students

who own a car also own a bicycle. Also, 60% of the student community own a bicycle.

Furthermore 25% of students who own a bicycle, also own a two-wheeler. Car owners

do not own two-wheelers. Finally, 30% of the students own a two-wheeler. What is the

probability that a randomly selected student

(a) owns a bicycle and a two-wheeler?

(b) owns a car, but does not own a bicycle?

(c) does not own any of the three?

(d) owns a bicycle, but no car or two-wheeler?