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A bag contains six 1 dollar bills, three 5 dollar bills, and two 10 dollar bills....

A bag contains six 1 dollar bills, three 5 dollar bills, and two 10 dollar bills. An experiment consists of drawing three random bills from the bag simultaneously. Thus, the experiment has C(11,3)=165 equally likely outcomes in its sample space.
What is the probability that at most one 5 dollar bill was drawn, given that no 10 dollar bills were drawn?

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