1. The floodplain in a region is designed for a 10-year flood (i.e., flooding is possible every 10 years). What is the probability that it will take exactly 3 years for the design flood level to be exceeded?
2. A construction engineering schedule system works perfectly with any three of the following component construction activities: A, B, C, D, E, F.
(a) In how many ways can the system be configured to work perfectly if its components have to be arranged in a specific order? For example, ABC is not the same as CBA, so these two configurations are "counted" differently.
(b) In how many ways can the system be configured to work perfectly if its components may be arranged in any order? For example, ABC is the same as CBA, so these two configurations count only as one.