Question

If P(A or B) =3/4, P(B) = 1/3, and P(A and B) = 1/6, find P(A)

Answer 1

Explanation:

P(A∪B)=3/4

P(B)=1/3

P(A∩B)=1/6

P(A∪B)=P(A)+P(B)-P(A∩B)

`(3)/(4)=P(A)+(1)/(3)-(1)/(6)\\P(A)=(3)/(4)-(1)/(3)+(1)/(6)=(9-4+2)/(12)=(7)/(12)`