SOLUTION: 4. 6 men and 4 women applied for a temporary job. If 2 applicants from this group are randomly selected for an interview, find the probability that there is at least 1 woman.

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Question 1175971: 4. 6 men and 4 women applied for a temporary job. If 2 applicants from this group are randomly selected for an interview, find the probability that there is at least 1 woman.
Answer by ikleyn(52893) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability that there is NO woman among the two selected for an interview, is


     P(no woman) = C%5B6%5D%5E2%2FC%5B10%5D%5E2 = %286%2A5%29%2F%2810%2A9%29 = 30%2F90 = 1%2F3.


The probability  P(at least one woman) is the COMPLEMENT to it, i.e.


    1 = 1%2F3 = 2%2F3.     ANSWER

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