Question

A six - face fair dice is rolled a large number of times. The mean value of the outcomes is .

• A. 3.5

Answer 1

The correct option is A 3.5

Let X = {outcome of dice} = {1, 2, 3, 4, 5, 6}

so for each outcome $p_i=\frac{1}{6}$

So, $E\left(x\right)=\sum p_i{x}_i=p_1{x}_1+p_2{x}_2+...+p_6{x}_6$

$=\frac{1+2+3+4+5+6}{6}=3.5$