In one of the games at the County Fair, people pay to shoot a paint pistol at the target shown at right. The center has a radius of one inch. Each concentric circle has a radius one inch larger than the preceding circle. Assuming the paint pellet hits the target randomly, what is the probability it hits:

1. The $50$ point ring?

   Hint (a):

   What is the area of the $50$ point ring?
   What is the area of the whole target?

2. The $20$ point ring?

   Hint (b):

   Calculate the area of the circle around the $20$ point ring.
   Then subtract the area of the $50$ point ring.

   Answer (b):

   $\frac{3}{16}$