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Jee Main 2025 — Medium JEE math MCQ

A coin is tossed three times. Let \(X\) denote the number of times a tail follows a head. If \(\mu\) and \(\sigma^2\) denote the mean and variance of \(X\), then the value of \(64(\mu + \sigma^2)\) is
  1. A. \(51\)
  2. B. \(64\)
  3. C. \(32\)
  4. D. \(48\)

Solution

The correct option is **D**. (D. \(48\))

MATH

medium • PYQ Reworded
Question
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A coin is tossed three times. Let XX denote the number of times a tail follows a head. If μ\mu and σ2\sigma^2 denote the mean and variance of XX, then the value of 64(μ+σ2)64(\mu + \sigma^2) is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep