A class has 28 students enrolled, 18 females and 10 males. 6 of the females and 4 of the males are STEM majors. a) If 2 students are randomly selected, what is the probability that a female is selected first and a male is selected second? b) If 2 members of the class are randomly selected, what is the probability that neither is female? c) One student is randomly selected to collect course evaluation forms. What is the probability that a female student was selected, given that the student selected was a STEM major?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A class has 28 students enrolled, 18 females and 10 males. 6 of the females and 4 of the males are STEM majors.

a) If 2 students are randomly selected, what is the probability that a female is selected first and a male is selected second?

b) If 2 members of the class are randomly selected, what is the probability that neither is female?

c) One student is randomly selected to collect course evaluation forms. What is the probability that a female student was selected, given that the student selected was a STEM major?

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