316. A health insurance company classifies applicants, depending on their health, into one of three categories: A, B, or C. The following probabilities apply: i) P[A] = 5P[C] ii) P[B] = 4P[C] iii) P[ zero claims | A] = 0.1 iv) P[ zero claims | B] = 0.2 v) P[ zero claims | C] = 0.4 Calculate the probability that an insured was classified in category C, given that the insured had zero claims. (A) 0.040 (B) 0.170 (C) 0.235 (D) 0.294 (E) 0.471