TIFR ECE 2014 | Question: 16

Question

A fair dice (with faces numbered $1, \ldots, 6$ ) is independently rolled twice. Let $X$ denote the maximum of the two outcomes. The expected value of $X$ is

• A. $4 \frac{1}{2}$
• B. $3 \frac{1}{2}$
• C. $5$
• D. $4 \frac{17}{36} $
• E. $4 \frac{3}{4}$