Question

If the maximum rainfall depth data of Bangalore indicates a depth of 300 mm with a return period of 50 years, then the probability that the depth of rainfall will be equal or exceed the 300 mm mark twice in 30 successive years is

• A. 0.0988

Answer 1

The correct option is A 0.0988
Here, n = 30 , r = 2, $P=\frac{1}{T}=\frac{1}{50}=0.02$
$\therefore P_{2,30}=\frac{30!}{2!28!}\times (0.02{)}^2\times (0.98{)}^{28}$
= 0.0988 or 9.88%