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

If A and B are two events such... - Solved

\( P(A∪ B) = 5 6 \),..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> \( P(A∪ B) = 5 6 \),..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> \( P(A∪ B) = 5 6 \),..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

Home Rankers PYQ Blogs Pricing About Contact

Question 34

Mathematics Probability Hard

If A and B are two events such that \(\rm P(A\cup B) = \dfrac{5}{6}\), \(\rm P(A\cap B) = \dfrac{1}{3}\) and \(\rm P(\bar{B}) = \dfrac{1}{2}\), then the events A and B are:

(A) Dependent.

(B) Independent.

(C) Mutually exclusive.

(D) None of these.

✓ Correct Answer: Option B Verified Solution