AMC 8 2022 Problem 25

AMC8 2022 年第 25 题

概率★★★★★

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?

一只蟋蟀随机地在 4 片叶子之间跳来跳去，每次都以相同的概率跳到其它的 3 片叶子上。问经过 4 次跳跃，蟋蟀回到它开始的那片叶子的概率是多少？

AMC 8 2022 Problem 25 figure

A. $\displaystyle \frac{2}{9}$
B. $\displaystyle \frac{19}{80}$
C. $\displaystyle \frac{20}{81}$
D. $\displaystyle \frac{1}{4}$
E. $\displaystyle \frac{7}{27}$

正确答案 · Correct Answer

E

解析 · Solution

解析整理中

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