Question 268990: In a 30-person group, there are 3 doctors, 5 lawyers, and 4 teachers. What is the probability of selecting a 3-person group composed of all teachers? (no replacement) What are the odds of selecting such a group?
Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! We have a total of 30 people, but 3 doctor, 5 lawyer, 4 teachers. This means that there are 18 others. We want 3 teachers, 0 doctors, 0 lawyers. We get
(3c0)*(5c0)*(4c3)*(18c0) / (30c3) = .000985
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