Total area of larger circle is 36*pi.

Area of smaller circle is 4*pi.

Now To get the area of shaded part ,we need to separate total area - smaller area = 32pi ( 36pi - 4pi).

Now to get the probability for the shaded part we need to take entire area of the maximum circle in the denominator.

Since p(a) = expected records / Total records.
i.e shaded / full circle => 32pi / 36pi => 8/9.

E.