Let’s record our information so we have it readily available. There are 24 students total, composed of 8 business majors, 3 psychology majors, and 13 art majors. We want to know the probability of selecting a psychology major and art major as the two students who will demonstrate. So, we have our information and can find the probability.
This scenario is an example of dependent events, since the probability of the professor selecting a psychology major influence the probability of selecting an art major. The formula for dependent events is:
P(A)*P(B|A)
So, the probability of event A multiplied (*) by the probability of event B such that (| symbol) A has occurred.
Let’s input our information into the formula:
3/24*13/24-1
3 out of the 24 students are psychology majors, and 13 out of the now 23 students are art majors. Because one psychology major student is selected, then an art major students, there will be 1 less student since the psychology student was already selected. Let’s continue:
39/552 after multiplication, but we should reduce:
13/184 is your answer