SOLUTION: A bowl contains 16 chips, of which, 6 are Red, 7 are white, and 3 are Blue. If four chips are taken at random and without replacement, find the probability that there is at least

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Question 498090: A bowl contains 16 chips, of which, 6 are Red, 7 are white, and 3 are Blue. If four chips are taken at random and without replacement, find the probability that there is at least one chip of each color.
I think the answer is 1 minus sum of the probabilities of: (no red), (no white) (all red) and (all white). Is that the right way to think about it. The answer I ended up with was (447/640) or about 69.8%.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
16C4 ways to draw 4 chips

___ 7*3*(6C2) ways to draw r-w-b-r
___ 6*3*(7C2) ways to draw r-w-b-w
___ 6*7*(3C2) ways to draw r-w-b-b

___ [(21*15)+(18*21)+(42*3)] ways to draw 4 with all colors

P = [(21*15)+(18*21)+(42*3)] / 16C4