SOLUTION: If there are 8 women and 4 men in a room and they put their names in a hat and then 3 names are selected at random, what is the probability of getting two men and one woman?

Question 1162074: If there are 8 women and 4 men in a room and they put their names in a hat and then 3 names are selected at random, what is the probability of getting two men and one woman?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


The probability is  P =      (*).


The denominator  of the formula   is the number of all possible triples to form of 12 = 8 + 4 persons.


It is equal to   =  = 220.


The numerator of the formula  (*)  is the number to form the triples, formed of 1 woman and 2 men.


So, the answer is  P =  =  = .

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