If A and B are two events such that P(A ∪ B) = (5/6), P(A ∩ B) = (1/3) and P(overline(B)) = (1/2), then the events A and B are

Question

If A and B are two events such that P(A ∪ B) = \(\big(\frac{5}{6}\big),\) P(A ∩ B) = \(\big(\frac{1}{3}\big)\) and \(P(\overline{B})\) = \(\big(\frac{1}{2}\big),\) then the events A and B are

A. Independent

B. Dependent

C. Mutually exclusive

D. None of these

Answer 1

Correct answer is A.

Given,

\(\Rightarrow\) Hence, these are independent.