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GATE 2025 EC – Question 58

Engineering Mathematics · Probability and Statistics · 2 marks · Numerical answer

Two fair dice (with faces labeled 1, 2, 3, 4, 5, and 6) are rolled. Let the random variable $X$ denote the sum of the outcomes obtained.

The expectation of $X$ is ______ (rounded off to two decimal places).

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Show answer and explanation

Correct answer: 6.96 to 7.04

Explanation

Each die has mean $(1+2+\dots+6)/6=3.5$, so by linearity $E[X]=3.5+3.5=7.00$.