(Chowdhury, Flentje, and Bhattacharya 2010, 132). An earth dam may fail due to one of three causes, namely: (a) overtopping; (b) slope failure; (c) piping and subsurface erosion. The probabilities of...

Extracted text: (Chowdhury, Flentje, and Bhattacharya 2010, 132). An earth dam may fail due to one of three causes, namely: (a) overtopping; (b) slope failure; (c) piping and subsurface erosion. The probabilities of failure due to these causes are respectively 0.7, 0.1, and 0.2. The probability that overtopping will occur within the life of the dam is 10-5. The probability that slope failure will take place is 10-4 and the probability that piping and subsurface erosion will occur is 10-3. What is the probability of failure of the dam, assuming that there are no other phenomena which can cause failure? Let F denote the event "failure of the dam" ; O="overtopping"; L=slope failure; E=erosion. Select one: а. Р(F |L) b. 0.1 С. 0.000217 d. 0.0001 Clear my choice