GATE CS 2026 Set 2 — Question 3
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Engineering Mathematics → Probability & Statistics → Discrete Distributions
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Question
A day can only be cloudy or sunny. The probability of a day being cloudy is , independent of the condition on other days. What is the probability that in any given four days, there will be three cloudy days and one sunny day?
Correct answer
(A) 1/4
Solution
This problem can be modeled using the Binomial Distribution formula:Where:
- (total number of days)
- (number of cloudy days required)
- (probability of a day being cloudy)
- (probability of a day being sunny)
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