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probability and conditional probability

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A survey of students at a university revealed the following regarding the gender and the majors of the students:
Major
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?

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The solution is comprised of detailed explanations of the calculation of probability and conditional probability of certain events.

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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.
For ...

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