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2016 AMC 8 Question 21

AMC8 · 2016 AMC 8

Question 21

A box contains $3$ red chips and $2$ green chips. Chips are drawn randomly, one at a time without replacement, until all $3$ of the reds are drawn or until both green chips are drawn. What is the probability that the $3$ reds are drawn?
  1. $ \dfrac{3}{10} $
  2. $ \dfrac{2}{5} $
  3. $ \dfrac{1}{2} $
  4. $ \dfrac{3}{5} $
  5. $ \dfrac{2}{3} $