Chapter 0, Problem 66POT

To determine

To find: the probability of rolling any number that is multiple of 2 ofthe given condition.

Answer to Problem 66POT

  $P\left(\text{rolling a multiple of 2}\right)=\frac{1}{2}$ .

Explanation of Solution

Given:

The given condition is:

A die is rolled.

Calculation:

According to the dice,

Total number of possible outcomes is 6.

i.e. $\left\{1,2,3,4,5,6\right\}$number of possible outcomes that is multiple of 2 is $3\left\{2,4,6\right\}$

Therefore, the probability of rolling that is multiple of 2 is $P\left(\text{rolling a multiple of 2}\right)=\frac{3}{6}=\frac{1}{2}$

Hence, $P\left(\text{rolling a multiple of 2}\right)=\frac{1}{2}$ .