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A frog makes jumps, each exactly meter long. The directions of the jumps are chosen independently at random. What is the probability that the frog's final position is no more than meter from its starting position

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Answer:

1 by 4

Step-by-step explanation:

The computation of the probability is as follows

Here we assume the moves in a complex numbers i.e. a, b and c

Now the frog begins with the starting point.

So it would become easy to represent the exactly one element in a set that has lower or equal than 1

|a + b + c| , |a + b - c|, |a - b + c|, |a - b- c|

So here the probability is 1 by 4

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