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?

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Respuesta :

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

  • [tex]\frac{1}{4}[/tex]

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[tex] \frac{1}{4}[/tex].

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.

For more information on probability, visit

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