53:078 Principles of Hydrology (Spring 2004)
Problem #24
Probability of a Sequence of Floods in Culvert Design
A culvert underneath a highway crossing is designed so that the
probability (in any given year) that the annual maximum peak discharge
inundates the road (i.e., a flood) is 0.05. The design life of the
highway crossing and its culvert is 25 years. Determine the following:
- The probability of two floods in two consecutive years.
- The probability of twenty-five floods in twenty-five consecutive years.
- The probability of no floods in twenty-five years.
- The probability of at least one flood in twenty-five years.
- The return period (in years) for a flood.
Last changed on
04/05/04
by aab.