Aspire Faculty ID #16788 · Topic: AMU MCA 2025 · Just now
AMU MCA 2025

Three identical fair dice are thrown independently. Let $Y$ denote the number of dice showing even numbers on their upper faces. Then the variance of random variable $Y$ is:

Solution

Each die has probability $p = \frac{1}{2}$ of showing an even number. So $Y \sim \text{Binomial}(3, \frac12)$ Variance $= npq = 3 \times \frac12 \times \frac12 = \frac{3}{4}$

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