In: Advanced Math
Problem 2: You have applied to two universities X and Y for graduate admission. There is a .25 chance that you are going to get into X and .20 chance that you are going to get into Y. Keep in mind that admission into the universities is independent events.
a) What is the probability that you are going to get into both universities?
b) What is the probability that you are going to get into at least one university?
c) What is the probability that you are going to get into any one of the university?
d) Are getting into those universities mutually exclusive?