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Question
A culvert is designed for a flood magnitude of return period 100 years and has expected life of 20 years. The risk in this hydrologic design is
A.
1 - 0.9920
B.
1 - 0.0120
C.
1 - 0.0920
D.
1 - 0.1020
Answer ( Option A)

1 - 0.9920

Solution

The probability of occurrence of an event at least once over a period of n successive years is called the risk 
∴Risk in hydrologic design = 1 - qn 
= 1 - (1 - p)n
=    1 – 0.9920 

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