ADA University offers its BSE program students the following three elective courses: Corporate Finance, Principles of Marketing and Introduction to Programming. In total, there are 90 BSE students. There are 18 BSE students in Corporate Finance, 22 students in Principles of Marketing, and 15 students in Introduction to Programming. There are 6 students who are in both Corporate Finance and Principles of Marketing, 4 students who are both in Corporate Finance and Introduction to Programming, and 8 students who are both in Principals of Marketing and Introduction to Programming. In addition, there are 2 students who take all three electives. a) If a BSE student is chosen randomly, what is the probability that he or she is not in any of the elective classes? b) If a BSE student is chosen randomly, what is the probability that he or she is taking only one elective class? c) If five students are chosen randomly, what is the probability that at least one is taking an elective class?

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ADA University offers its BSE program students the following three elective courses: Corporate Finance, Principles of Marketing and Introduction to Programming. In total, there are 90 BSE students. There are 18 BSE students in Corporate Finance, 22 students in Principles of Marketing, and 15 students in Introduction to Programming. There are 6 students who are in both Corporate Finance and Principles of Marketing, 4 students who are both in Corporate Finance and Introduction to Programming, and 8 students who are both in Principals of Marketing and Introduction to Programming. In addition, there are 2 students who take all three electives.

a) If a BSE student is chosen randomly, what is the probability that he or she is not in any of the elective classes?

b) If a BSE student is chosen randomly, what is the probability that he or she is taking only one elective class?

c) If five students are chosen randomly, what is the probability that at least one is taking an elective class?

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