AMC 8 2026 (Problem 21)

Charlotte the spider is walking along a web shaped like a 5-pointed star, shown in the figure below. The web has 5 outer points and 5 inner points. Each time Charlotte reaches a point, she randomly chooses a neighboring point and moves to that point. Charlotte starts at one of the outer points and makes 3 moves (re-visiting points is allowed). What is the probability she is now at one of the outer points of the star?

Five-pointed star web with five outer points and five inner points

\text{(A)}\;\frac{1}{5}

\text{(B)}\;\frac{1}{4}

\text{(C)}\;\frac{2}{5}

\text{(D)}\;\frac{1}{2}

\text{(E)}\;\frac{3}{5}