JEE Main 2024 Mathematics question
Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable x to be the number of rotten apples in a draw of two apples, the variance of x is
Answer: (D)
Solution
P(X = 0) = ¹⁵C₂/¹⁸C₂ = 35/51, P(X = 1) = (3 × 15)/¹⁸C₂ = 15/51 and P(X = 2) = ³C₂/¹⁸C₂ = 1/51. Mean =
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