A landfill system for a hazardous pollutant is lined successively with three different materials: (1) ge textile grade A, (2) geotextile grade B, and (3) compacted clay as illustrated in the following figure. This arrangement could be thought of as three links in a serial arrangement. A failure in any one lining disables the entire system. At any given time, the probabilities of failure in the linings are as follows: p(S1) = 0.03; p(S2) = 0.08; and p(S3) = 0.01. If the performance of each lining is independe of the others, find the probability that the lining system fails. Please provide your answer in the following text box. Landfill (a) S S S3 (b)