Duing a power blackout. 100 persons are arrested on suspect of looting. Each is given a polygraphtest. From past experience it is known that the polygraph is 90% reliable when administered to aguilty person and 98% reliable when given to some one who is innocent. Suppose that of the 100persons taken into custody, only 12 were actually involved in any wrong doing. If the probabilitythat a given suspect is innocent given that the polygraph says he is guilty is a/b where a and b arerelatively prime, find the value of `(a + b)`.