![The probability that the annual maximum flood discharge will exceed 25000 m3/s, at least once in next 5 years is found to be 0.25. The return period of this flood event](https://www.gkseries.com/blog/wp-content/uploads/2023/07/The-probability-that-the-annual-maximum-flood-discharge-will-exceed-25000-m3-s-at-least-once-in-next-5-years-is-found-to-be-0.25.-The-return-period-of-this-flood-event.jpg)
Q. The probability that the annual maximum flood discharge will exceed 25000 m3/s, at least once in next 5 years is found to be 0.25. The return period of this flood event (in years, round off to 1 decimal place) is ________________
Solution:
Probability to exceed maximum discharge at least once in next 5 years is given by
=1−(1−p)n
⇒0.25=1−(1−p)n [n=5 year]
⇒p=0.0559
⇒1/T=0.0559
⇒T=17.9 year