SOLUTION: can anyone help me with this please? Im new to statistics Among the group of 20 students who registered for the statistic course, 8 of them are first-year students. 5 students a

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Question 431995: can anyone help me with this please? Im new to statistics
Among the group of 20 students who registered for the statistic course, 8 of them are first-year students. 5 students are randomly selected from the group. What is the probability that exactly 2 of the selected students are first-year students?
thank you!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
8 1st year students among a group of 20 students registered for the statistic course.
5 are randomly selected from the group.
20C5 = 15,504 |nCx = n%21%2F%28x%21%28n-x%29%21%29
represents the total ways of selecting a group of 5 among the 20
P(exactly 2 of the selected students are among the 8 1st-year students)
P = 8C2*12C3/20C5 = 28*220/15,504 = 6160/15,504 = .3973