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

Answer:

Step-by-step 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)'=$1-P(AB)\\=0.9$