Question

if p(A)=0.30,p(B)=0.40and p(AB) =0.20,then p(A/B) is

Answer 1

Answer:

p(A|B) = 2/3

Step-by-step explanation:

Given p(A)=0.30,p(B)=0.40and p(A∩B) =0.20,then p(A/B) is expressed as shown:

p(A|B) = p(A∩B)/p(A)

p(A|B) means B is independent and A depends on B.

In your problem P(A)=0.65, P(A∩B) =0.1

Substituting the given values,

p(A|B) = 0.2/0.30

p(A|B) = 2/10 * 10/3

p(A|B) = 2/3