The total number of bills are 23.
The probability to get single = 8/23
The probability to get five = 10/23
The probability to get twenty = 2/23
The probability to get a hundred = 3/23
So, the fair price to play this game is calculated below:
[tex]\begin{gathered} \text{fair price}=1\times\frac{8}{23}+5\times\frac{10}{23}+20\times\frac{2}{23}+100\times\frac{3}{23} \\ =\frac{8}{23}+\frac{50}{23}+\frac{40}{23}+\frac{300}{23} \\ =\frac{8+50+40+300}{23} \\ =\frac{398}{23} \\ =17.30 \end{gathered}[/tex]Thus, the fair price to play this game is $17.30
