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An urn contains five blue, six green and seven red balls. You choose five balls at...

An urn contains five blue, six green and seven red balls. You choose five balls at random from the urn, without replacement (so you do not put a ball back in the urn after you pick it), what is the probability that you chose at least one ball of each color?(Hint: Consider the events: B, G, and R, denoting respectively that there are no blue, no green and no red balls chosen.)

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