[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates of

the outcomes are chosen at random, find the probability that the dart falls

• within 2 inches of the center.
• within 2 inches of the rim.
• within the first quadrant of the target.
• within the first quadrant and within 2 inches of the rim.