At a university, 28% of the students major in zoology. Of all the students majoring in zoology, 68% are males. It is also known that 56% of all students at the university are male.
Let Z represent the event that a randomly chosen student is majoring in zoology. Let M represent the event that a randomly chosen student is male.
(a) What is the probability a randomly chosen student is male and majoring in zoology?
(b) What is the probability that one randomly selected student is a male or is majoring in zoology, or both?
(c) What proportion of males at the university are majoring in zoology?
(d) What proportion of students are male and are not majoring in zoology?
I'm not sure how to answer these questions so I would be grateful for some help! Thanks :)