A fence consists of horizontal and vertical wooden rods with a distance of \(10 \mathrm{~cm}\) between them (measured from the center of the rods). The rods have a circular sectional view with a diameter of \(2 \mathrm{~cm}\). Thus, the arising squares have an edge length of \(8 \mathrm{~cm}\). Children throw balls with a diameter of \(5 \mathrm{~cm}\) horizontally at the fence. What is the probability that a ball passes the fence without touching the rods?