A survey of students at a university revealed the following regarding the gender and the majors of the students:
Gender Accntng Mngmnt Finance Total
Male 100 150 50 300
Female 100 50 50 200
Total 200 200 100 500
a. What is the probability of selecting a female student?
b. What is the probability of selecting a finance or an accounting major?
c. What is the probability of selecting a female or an accounting major?
d. What is the probability of selecting an accounting major, given that the person selected is a male?
e. Suppose two students are selected to meet with the president of the university. What is the probability that they are both accounting majors?
Please see detailed solution in the attached file.
The probability of certain event = outcomes of this specific event / total outcomes
a. There are 200 female students, to select one, you get 200C1 = 200 different ways.
The solution is comprised of detailed explanations of the calculation of probability and conditional probability of certain events.