Question

If P(A)= 0.3 , P (B)= 0.2, and P(A and B)= 0.1 , determine the following probabilities: (a) P( A' ) (b) P (A U B) (c) P(A' INTERSECT B) (d) P [ (A U B)' ] (e) P (A' U B)'

Answer 1

Explanation:

Given that P(A)= 0.3 , P (B)= 0.2, and P(A and B)= 0.1

,(a) P( A' )=
`1-P(A) = 0.7`

(b) P (A U B)=
`P(A)+P(B)-P(AB) =0.2+0.2-0.1\\=0.3`

(c) P(A' INTERSECT B) =

(d) P [ (A U B)' ] =
`P(B)-P(AB) = 0.2-0.1=0.1`

(e) P (A' U B)'=
`1-P(AB)\\=0.9`