What are the odds that the frog jumps into the pond?

A frog jumps towards a pond.
The initial distance between the frog and the pond edge is 1. The pond width is 1. The frog jumps in one direction only. The jump length is distributed randomly and uniformly between 0 and 2.

What is the probability that the frog lands in the pond?
“Lands” means “eventually lands”, i.e. after some jump. Not necessarily after the very first jump.
This is a one-dimensional problem.
Track P described the question correctly.


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