SOLUTION: There are 10 puppies in a cage, of which 6 are male and 4 are female. If you select three puppies at random, what is the probability that they will be the same gender?

Algebra ->  Probability-and-statistics -> SOLUTION: There are 10 puppies in a cage, of which 6 are male and 4 are female. If you select three puppies at random, what is the probability that they will be the same gender?      Log On


   



Question 380491: There are 10 puppies in a cage, of which 6 are male and 4 are female. If you select three puppies at random, what is the probability that they will be the same gender?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=Combination of n things taken r at a time=N!/((n-r)!*r!)
(6C3 + 4C3)/10C3
=(20+4)/120
=1/5 the probability that they will be the same gender.
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Ed