Problem 2. (15 points)
Sixty percent of the students in an elementary school are wearing long pants. Seventy percent of
the students are wearing sneakers. Thirty-five percent are wearing both long pants and sneakers.
If you pick a student at random, what is the probability that he or she is wearing long pants or
sneakers?
(a) Show how to use the Addition Rule to answer this question, including all steps.
(b) Illustrate this situation using a Venn diagram.
(c) What percentage of the students are wearing long pants but not sneakers?