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Jee Main 2025 — Medium JEE math MCQ

Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate between them. Two oranges are drawn at random from the lot. If \(x\) denote the number of defective oranges, then the variance of \(x\) is \[
  1. A. \ \frac{28}{75} \quad
  2. B. \ \frac{18}{25} \quad
  3. C. \ \frac{26}{75} \quad
  4. D. \ \frac{14}{25}. \]

Solution

The correct option is **A**. (A. \ \frac{28}{75} \quad)

MATH

medium • PYQ Reworded
Question
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Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate between them. Two oranges are drawn at random from the lot. If xx denote the number of defective oranges, then the variance of xx is \[
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep