Question 25A 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?$\displaystyle \dfrac{2}{9}$$\displaystyle \dfrac{19}{80}$$\displaystyle \dfrac{20}{81}$$\displaystyle \dfrac{1}{4}$$\displaystyle \dfrac{7}{27}$