A company manufactures sports bike, at two different plants A and Plant A produces 73% and plant B produces 27% of total production. 85 out of 100 bikes produced at plant A meet the quality standards while 65 out of 100 bikes produced at plant B meet the quality standards. A bike produced by the company is selected at random and is found meeting the quality standards. Find the probability that a selected sports bike was manufactured by plant B. If P(A) = 0.43, P(B) = 0.55, and P(AB) = 0.35 find the probability that i) P(not A) + P(not B) ii) P(AUB)' iii) P(AB) iv) P(A/B) v) P(B/A)