SOLUTION: A bag contains 14 identical balls 4 of which are red, 5 black and 5 white. Six balls are drawn from the bag. Find the probability that, 3 are red and at least 2 are white

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Question 194382: A bag contains 14 identical balls 4 of which are red, 5 black and 5 white. Six balls are drawn from the bag.
Find the probability that, 3 are red and at least 2 are white

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
14C6 = 3003 combinations of 14 balls taken 6 at a time.
4C3 * 5C3 = 40 frequency of exactly 3 red and 3 white.
4C3 * 5C2 * 5C1 = 200 frequency of exactly 3 red and 2 white and 1 is black.
240/3003=.0799
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Ed