<s>[INST] A circle is inscribed in a triangle with side lengths $a$, $b$, and $c$. The semiperimeter of the triangle is $s = \frac{a+b+c}{2}$, and the radius $r$ of the circle is given by $r = \frac{A}{s} = \frac{\sqrt{s(s-a)(s-b)(s-c)}}{s}$, where $A$ is the area of the triangle. Find the probability that the radius of the inscribed circle is greater than or equal to $0.5$.[/INST]