Correct option is (B) 2
Let X be the random variable representing a number on the die.
The total number of observations is six.
∴ P(X = 1) = \(\frac 36 = \frac12\)
P(X = 2) = \(\frac 26 = \frac13\)
P(X = 5) = \(\frac 16\)
Therefore, the probability distribution is as follows.
Mean E(X) = ∑pixi
\(= \frac 12 \times 1 + \frac13 \times 2 +\frac16 \times5\)
\(= \frac 12 + \frac 23 + \frac 56 \)
\(= \frac{3 + 4 + 5}6\)
\(= \frac{12}6\)
\(= 2\)
