Chapter 13.10, Problem 33STP

To determine

The probability of the rolling a numbers $3$ times and getting numbers less than $3$ each time.

F. $\frac{1}{216}$ H. $\frac{1}{8}$ G. $\frac{1}{27}$ J. $\frac{27}{64}$

Answer to Problem 33STP

The correct option is H. $\frac{1}{8}$ .

Explanation of Solution

The total probability of a number less than $3$ in a dice is $\frac{1}{2}$ . So as it needs to be tossed three times, then multiply by itself threefold. The result is $\frac{1}{8}$ .

  $\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{8}$

Conclusion:

Hence, the correct option is H. $\frac{1}{8}$ .