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?
A. 29\frac{2}{9}
B. 1980\frac{19}{80}
C. 2081\frac{20}{81}
D. 14\frac{1}{4}
E. 727\frac{7}{27}

Recursion and induction in counting中文
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E. 727\frac{7}{27}

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