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A genetic disease is present in 12% of a population and is not present in the remaining 88%. An imperfect clinical test successfully detects the disease and with probability 0.90. Thus, if a person has the disease in the serious form, the probability is 0.9 that the test will be positive and it is 0.1, if the test is negative. Moreover, among the unaffected persons, the probability that the test will be positive is 0.05. A person selected at random from the population is given the test and the result is positive. What is the probability that this person has the disease?.

(a). 27/38.
(b). 11/49.
(c). Cannot be determined.

(d). None of these.