GATE CE 2026 Set 2 — Question 32
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Engineering Mathematics → Hydrographs & Groundwater → Binomial Distribution
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Question
The probability (in %) that a storm having return period of 15 years may occur in the next 10 years is ______ (rounded off to two decimal places).
Correct answer
45 to 55
Solution
Given:
Return period () = 15 years
Time period () = 10 yearsThe probability of occurrence in any single year is .
The probability of non-occurrence in a single year is .The probability that the storm occurs at least once in years (Risk) is given by:
In percentage:
Rounding off to two decimal places, the answer is .
Return period () = 15 years
Time period () = 10 yearsThe probability of occurrence in any single year is .
The probability of non-occurrence in a single year is .The probability that the storm occurs at least once in years (Risk) is given by:
In percentage:
Rounding off to two decimal places, the answer is .
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