Question

A six faced fair die is rolled for a large number of times. Then, the mean value of the outcome is

• A. $4.5$
• B. $2.5$
• C. $3.5$
• D. $1.5$
• E. $3$

Answer 1

Answer: (C)

$3.5$

Answer 2

Given data:

The six dice rolled for many number of times .

Then the outcomes of the event: $X= {1,2,3,4,5,6}$

for each face the probability is ,$P= \dfrac{1}{6}$

Therefore, the mean value, $E(X) = Σ(x ×P(x))$

For the six-faced dice, the mean value would be:

$E(X) = \dfrac{1}{6} + \dfrac{2}{6} + \dfrac{3}{6}+ \dfrac{4}{6}+ \dfrac{5}{6} + \dfrac{6}{6}$

$⇒E(X) = (21/6)$

$= 3.5$

Hence the mean value of the outcome is 3.5. (_Ans.)