Given that, the events A and B are such that P(A) = \(\frac{1}{2}\), P(A ∪ B) = \(\frac{3}{5}\) and P(b) = P. Then probabilities of B if A and B are mutually exclusive and independent respetively are
A. \(\frac{1}{2}, \frac{1}{3}\)
B. \(\frac{1}{5}, \frac{1}{3}\)
C. \(\frac{2}{3}, \frac{1}{3}\)
D. \(\frac{1}{10}, \frac{1}{5}\)
Answer:D
Given that, the events A and B are such that P(A) = \(\frac{1}{2}\), P(A ∪ B) = \(\frac{3}{5}\) and P(b) = P. Then probabilities of B if A and B are mutually exclusive and independent respetively are
A. \(\frac{1}{2}, \frac{1}{3}\) B. \(\frac{1}{5}, \frac{1}{3}\) C. \(\frac{2}{3}, \frac{1}{3}\) D. \(\frac{1}{10}, \frac{1}{5}\)