In a university, if a student is a business major, then there is 70% chance that he/she will be employed immediately after graduation. and if a student is not a business major, there is a 35% chance that he/she will be employed immediately after graduation. We also know that 40% of students are business majors and 60% of students are not business major.
a. What is the probability that a student is employed immediately after graduation.
b. What is the probability that a student is a business major given that he or she is employed immediately after graduation?