Two reinforced concrete buildings A and B are located in a seismic region. It is estimated that an impending earthquake in the region might be strong (S), moderate (M), or weak (W) with probabilities P (S) = 0.02, P (M) = 0.2, and P (W) = 0.78. The probabilities of failure of each building if these earthquakes occur are 0.20, 0.05, and 0.01, respectively. (a) Determine the probability of failure of building A if the impending earthquake occurs. (b) If building A fails, what is the probability that the earthquake was of moderate strength? (c) Due to similar procedures used in the design and construction of the two buildings, it is estimated that if building A fails the probability that building B will also fail is 0.50, 0.15, and 0.02 for the three types of earthquakes. Determine the probability that both buildings will fail in the impending earthquake.

Answer rating: 100% (QA)

Lets calculate the probabilities step by step a Probability of failure of building A if the impendin... View the full answer