Chapter 11.6, Problem 8E

To determine

To calculate: the probability to open the lock on the first try.

Answer to Problem 8E

the probability to open the lock on the first try is $\frac{1}{6}$ .

Explanation of Solution

Given :

  $4,22,8$ .

Calculation : tofind the probability first we find the total possibilities to order given three numbers. To find all the possibilities, we have total no three and we arrange them in six ways,

  $3!=3·2·1$

  $\begin{array}{l}4228\\ 4822\\ 2248\\ 2284\\ 8224\\ 8422\end{array}$

Now to find the probability divide the no of try by total possibilities

Probability = $\frac{1}{6}$

Hence,the probability to open the lock on the first try is $\frac{1}{6}$ .