Mathematics Homework Help

I need support with this Probability question so I can learn better.

Q2. Suppose we throw a dart at a square target 1 meter on each side, which has a bullseye in the

center of radius 0.1 meters. Assume that the dart lands on a point chosen uniformly at random from the

square target. Find the probability of each of the following events:

(a) The dart lands in the bullseye;

(b) The dart lands within 0.1 meter of an edge of the square target (i.e., the shortest distance from the

dart to the closest edge is ≤ 0.1);

(c) The dart lands within 0.1 meter of a corner of the square target (i.e., the distance from the dart to

the closest corner point is ≤ 0.1);

(d) The dart lands in the exact center of the square (equivalently, in the exact center of the bullseye).