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

The Correct Option is C

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.)