2023 AMC 12A Problem 5

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?

\textbf{(A)} \dfrac{2}{9} \qquad \textbf{(B)} \dfrac{49}{216} \qquad \textbf{(C)} \dfrac{25}{108} \qquad \textbf{(D)} \dfrac{17}{72} \qquad \textbf{(E)} \dfrac{13}{54}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.