Question

Conditional Probability Assistance?

Answer 1

Let the event
`A=\{ Sophomore \}, B=\{ Boy \}`

The the probability of the events

`P(A \cap B)=(5)/(12+18) =(1)/(6)`

`P( B)=(12)/(12+18) =(2)/(5)`

The conditional probability

`P(Sophomore|Boy)=P(A|B)=(P(A \cap B))/(P(B)) =(1/6)/(2/5) </p><p>=(5)/(12)`