The width of the board is 8 ft.
The height of the board is 10 ft.
The diameter of the circle is 1.5 ft.
The probablity of not circle can be determined as,
[tex]\begin{gathered} P(Not\text{ Circle)=1-P(Circle)} \\ =1-\frac{\frac{\pi}{4}d^2}{w\times h} \\ =1-\frac{\frac{\pi}{4}(1.5)^2}{8\times10} \\ =0.9779 \\ =0.9779\times100\text{ Percent} \\ =97.79\text{ Percent} \\ =97.8\text{ Percent} \end{gathered}[/tex]Thus, the required probablity to the nearest tenth is 97.8%.
