Allied & ICAR Exam Bank • ALLIED_1169 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology and Runoff

Subtopic: Return Period and Risk

Question Statement:

For a conservation structure designed for a flood with return period $T = 25\text{ years}$, the probability that the design flood will NOT be exceeded in any single year is $p_0 = 1 - 1/25 = 0.96$. Over a 2-year service life, the probability of non-exceedance in both years is $(0.96)^2 = 0.9216$. The hydrological risk of failure in the 2-year period (in %) is:

Answer Key:

7.84

Step-by-Step Solution & Explanation

Risk $R_e = 1 - (1 - 1/T)^n = 1 - (0.96)^2 = 1 - 0.9216 = 0.0784$ or $7.84\%$.
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