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2023 AMC 10A Question 7

AMC10 · 2023 AMC 10A

Question 7

Janet rolls a standard $6$-sided die $4$ times and keeps a running total of the numbers she rolls. What is the probability that at some point her running total will equal $3?$
  1. $\dfrac{2}{9}$
  2. $\dfrac{49}{216}$
  3. $\dfrac{25}{108}$
  4. $\dfrac{17}{72}$
  5. $\dfrac{13}{54}$