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AMC 8 2016 #21 — 3 Red 2 Green Chips Draw Until All Red or All Green

1425ApprenticeCombinatoricsProbability

AMC 8 · 2016 · Problem 21

A top hat 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?

Answer choices

A
\dfrac{3}{10}
B
\dfrac{2}{5}
C
\dfrac{1}{2}
D
\dfrac{3}{5}
E
\dfrac{7}{10}
0 students attempted0% solvedRating 1425

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