SOLUTION: A box contains 3 orange balls, 3 yellow balls, and 2 white balls. Three balls are selected without replacement. Find the probability of 2 yellow balls and a white ball.

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Question 1173653: A box contains 3 orange balls, 3 yellow balls, and 2 white balls. Three balls are selected without replacement. Find the probability of 2 yellow balls and a white ball.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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The number of all possible triples of balls (independently of their colors) is

    C%5B8%5D%5E3 = %288%2A7%2A6%29%2F%281%2A2%2A3%29 = 56.



The number of favorable triples is

    C%5B3%5D%5E2.C%5B2%5D%5E1 = 3*2 = 6.


THEREFORE, the probability under the problem's question is  P = 6%2F56 = 3%2F28.       ANSWER

Solved.

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