Chapter 0, Problem 60PR

To determine

The probability of finding a number which is divisible by 3 when the die is rolled.

Answer to Problem 60PR

  $P=0.33$

Explanation of Solution

Given:

Total number of faces of a die $=6$

Formula used:

Probability (P) = $\frac{\text{Possible event}\left(PE\right)}{\text{Total event}\left(TE\right)}$

Calculation:

Total number of events,

  $\begin{array}{l}TE=\text{ Total faces on a die}\\ TE=6\end{array}$

Possible events,

A die has 6 faces which have 1 to 6 numbers on it. From 1 to 6, only 3 and 6 is divisible by 2. So, Possible events is 2.

  $PE=2$

By the probability formula,

  $\begin{array}{l}P=\frac{PE}{TE}\\ P=\frac{2}{6}\\ P=0.33\end{array}$

Conclusion:

Hence, the probability of finding a number which is divisible by 3 when the die is rolled is 0.33.