Question

CONDITIONAL PROBABILITY URGENT?

Answer 1

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

The the probability of the events

`P(A \cap B)=(4)/(12+18) =(2)/(15)`

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

The conditional probability

`P(Freshman|Boy)=P(A|B)=(P(A \cap B))/(P(B)) =(2/15)/(2/5) =(1)/(3)`