Question

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?

I NEED HELP ASAP PLS

Answer 1

The probability that the cricket has returned to the leaf where it started is

• $\frac{1}{4}$

After its 1st jump since it has the option to jump back to any leaf and it is the case of independent events. So probability will remain$\frac{1}{4}$.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

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