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 $64\left(\mu+\sigma^2\right)$ is [JEE Main 2025, 22 Jan (Shift 1)]

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A coin is tossed three times. Let \(X\) denote the number of times a tail follows a head. If \( \mu\) and \(\sigma^2\) d…

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