Chapter 6.7, Problem 4E

To determine

To find: the probability of the event of rolling a number which is a multiple of 2

Answer to Problem 4E

The probability of rolling a multiple of 2 is $\frac{\text{1}}{\text{2}}$ .

Explanation of Solution

Given information :

A number cube is rolled and the favourable outcome is a multiple of 2.

Calculation :

Total number of possible outcomes in rolling a number cube is 6 i.e. 1, 2, 3, 4, 5, and 6.

Also

Total number of outcomes which is a multiple of is (2, 4, and 6), so total number of favourable outcomes is 3.

Now,

  $\begin{array}{l}P\left(\text{Rolling Prime Number}\right)=\frac{\text{Number of favouarable outcome}}{\text{Number of possible outcome}}\\ P\left(\text{Rolling Prime Number}\right)=\frac{\text{3}}{\text{6}}\\ P\left(\text{Rolling Prime Number}\right)=\frac{\text{1}}{\text{2}}\end{array}$

Hence,

The probability of rolling a multiple of 2 is $\frac{\text{1}}{\text{2}}$ .