Probablity and Statistics

[math210kn]

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?