AMC8 2022 Problem 25

A cricket randomly hops between 4 leaves, on each turn hopping to one of the other 3 leaves with equal probability. After 4 hops, what is the probability that the cricket has returned to the leaf where it started?

Answer Choices
A. \dfrac{2}{9}
B. \dfrac{19}{80}
C. \dfrac{20}{81}
D. \dfrac{1}{4}
E. \dfrac{7}{4}