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2018 AMC 10B Question 6

AMC10 · 2018 AMC 10B

Question 6

A box contains $5$ chips, numbered $1,$ $2,$ $3,$ $4,$ and $5.$ Chips are drawn randomly one at a time without replacement until the sum of the values drawn exceeds $4.$ What is the probability that $3$ draws are required?
  1. $\dfrac{1}{15}$
  2. $\dfrac{1}{10}$
  3. $\dfrac{1}{6}$
  4. $\dfrac{1}{5}$
  5. $\dfrac{1}{4}$