A small town has 8000 adult males and 6000 adult females. A sociologist conducted a survey and

Question:

A small town has 8000 adult males and 6000 adult females. A sociologist conducted a survey and found that 40% of the males and 30% of the females drink heavily. An adult is selected at random from the town.
(a) What is the probability the person is a male?
(b) What is the probability the person drinks heavily?
(c) What is the probability the person is a male or drinks heavily?
(d) What is the probability the person is a male, if it is known that the person drinks heavily?