Chapter 12.3, Problem 10PPS

To determine

To Find: The probability of given possibility.

Answer to Problem 10PPS

The probability is $\frac{1}{72}$ .

Explanation of Solution

Given information:

Total number of dice = 3

Two of the rolls are even.

Also, all rolls are same.

Total number of dice = 3

  $\begin{array}{l}\text{Total number of outcomes}=6*6*6\\ =216\end{array}$

Two of the rolls are even.

Also it is given that all of the rolls are same.

Hence, possible outcomes be

  $\begin{array}{l}\left(2,2,2\right),\\ \left(4,4,4\right),\\ \left(6,6,6\right)\end{array}$

Total number of possible outcomes is 3.

Hence ,

  $\begin{array}{l}\text{Probability}=\frac{3}{216}\\ =\frac{1}{72}\end{array}$

Hence, required probability is $\frac{1}{72}$ .