Chapter 10.6, Problem 35IP

To determine

To find: The probability that he is not chosen to receive the free haircuts.

Answer to Problem 35IP

The probability that he is not chosen to receive the free haircuts is $\frac{37}{40}\mathrm{or}92.5\%$ .

Explanation of Solution

Given information: One ticket is chosen from $80$ tickets to receive free haircuts for a year.

Calculation: One ticket is chosen from $80$ tickets to receive free haircuts for a year.

Wakim will not be chosen if any of the $74$ other tickets are drawn rather than his.

  $\begin{array}{l}P(\mathrm{wakim}\mathrm{loses})=\frac{80-6}{80}=\frac{74}{80}=\frac{37}{40}\\ \mathrm{In}\mathrm{percent}=\frac{37}{40}\times 100\%=\frac{37}{2}\times 5\%=\frac{185}{2}\%=92.5\%\end{array}$

Thus, the probability that he is not chosen to receive the free haircuts $\frac{37}{40}\mathrm{or}92.5\%$ .