An agricultural storage warehouse uses a metal building system as a lateral force resisting system (LFRS). The building columns are attached to a concrete foundation with anchor bolts. Failure of either the LFRS or the anchor bolts will result in failure of the building. Either or both may fail at the same time. The probability of the bolts failing is 0.003. If the bolts fail, the probability that the LFRS also fails is 0.35. The probability of bolts failing due to failure of the LFRS is 0.25.

1. What is the probability of the failure of the building during high winds?

2. What is the probability that either the LFRS or the bolts fail?

3. If the LFRS is damaged, what is the probability that it was caused by the bolts failing?