2(a)Probability Tree Diagrams Conditional ProbabilityEasy1 mark
At a certain college, each of the 150 students studies exactly one of Art, Business or Drama. The numbers of male and female students studying each of these subjects is given in the table.
| Art | Business | Drama | |
|---|---|---|---|
| male | 14 | 28 | 18 |
| female | 16 | 42 | 32 |
One student is selected at random.
is the event that the student selected studies Art.
is the event that the student selected studies Business.
is the event that the student selected is male.
Find .
Probability