Question

It is proposed to design a causeway along a village road. The return period for the annual maximum flood of a given magnitude was found to be 5 years. The probability that this flood magnitude will be exceeded atleast once during next 2 years is:

• A. 0.8
• B. 0.5
• C. 0.45
• D. 0.36

Answer 1

The correct option is D 0.36

$p=1-q^n=1-{(1-\frac{1}{T})}^n$
$\Rightarrow p=1-{(1-\frac{1}{5})}^2$
$=1-0.64=0.36$