Respuesta :

Determine the area of square with side a = 8 cm.

[tex]\begin{gathered} A=(a)^2 \\ =(8)^2 \\ =64 \end{gathered}[/tex]

Determine the area of NOT shaded region.

[tex]\begin{gathered} A^{\prime}=2\cdot\frac{1}{2}\cdot4\cdot4 \\ =16 \end{gathered}[/tex]

Determine the probability for the point in square NOT lie in shaded region.

[tex]\begin{gathered} P=\frac{16}{64} \\ =\frac{1}{4} \end{gathered}[/tex]

So answer is 1/4.