Problem: A point in the plane, both of whose rectangular coordinates are integers with absolute value less than or equal to four, is chosen at random, with all such points having an equal probability of being chosen. What is the probability that the distance from the point to the origin is at most two units?
Answer Choices:
A.
B.
C.
D.
E. the square of a rational number
Solution:
The points whose coordinates are integers with absolute value less than or equal tof four form a array, and of these points are at distance less than or equal to two units from the origin.