Question

I need help with both but its fine if you cant

Answer 1

The conditional probability is given by:

`P(B|A)=(P(A\cap B))/(P(A))`

Let A be the event "the student is male" and B the event "First class is humanities".

The probability of A is:

`P(A)=(215)/(380)`

The probability of event A and B is:

`P(A\cap B)=(50)/(380)`

Therefore the conditional probability is:

`P(B|A)=((50)/(380))/((215)/(380))=(50)/(215)=(10)/(43)`

Therefore the probability we are looking for is 10/43