SOLUTION: Tom has 4 male kittens and 7 female kittens. He wants to give two of them to his friend. What is the probability that both will be male?

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Question 448320: Tom has 4 male kittens and 7 female kittens. He wants to give two of them to his friend. What is the probability that both will be male?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(Both Male) = P(Male AND Male)


P(Both Male) = P(Male)*P(Male)


P(Both Male) = (4/11)*(3/10)


P(Both Male) = 12/110


P(Both Male) = 6/55


Notes: there are 4+7 = 11 kittens total. Because the kittens are NOT being replaced, this means that this total will go down with each kitten being given away. So on the first giveaway, there are 4 males (out of 11 total) and on the second giveaway there are 3 (4-1 = 3) males out of 10 (11-1 = 10).