Determine whether the events A and B are independent.

Question

P(A) = 0.5, P(B) = 0.6, and P(A ∩ B) = 0.2

Answer 1

Events A and B are independent if P(A∩B)=P(A)*P(B)

So you just multiply P(A) by P(B) and compare the result with value 0.2 you are given in the problem.