Allied & ICAR Exam Bank • ALLIED_0416 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Hydrology and Runoff

Subtopic: Hydrology and Runoff

Question Statement:

The risk $R$ of occurrence of a design flood of return period $T$ at least once during a project design life of $n$ years is given by:

Options:

  • (A) $R = 1 - (1 - 1/T)^n$
  • (B) $R = (1 - 1/T)^n$
  • (C) $R = n / T$
  • (D) $R = 1 / (n T)$

Answer Key:

A

Step-by-Step Solution & Explanation

The probability of non-occurrence in all $n$ years is $(1 - P)^n = (1 - 1/T)^n$. Hence risk is $1 - (1 - 1/T)^n$.
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