(1) A graduate statistics course has four male and six female students. The prof

Question

(1) A graduate statistics course has four male and six female students. The professor wants to select two students at random to help her conduct a research project. What is the probability that the two students chosen are female?
(2) Refer to part (1). The professor who teaches the course is suffering from the flu and will be unavailable for two classes. The professor’s replacement will teach the next two classes. His style is to select one student at random and pick on him or her to answer questions during that class. What is the probability that the two students chosen are female?

Explanation / Answer

1) P(2 students choose are female) = 6C2 / 10C2 = 15 / 210 = 0.0714

2) P(2 students choose are female) = 6/10 * 6/10 = 0.36

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