You're trapped in a maze. There is a way out. Path junctions are all 3-way.
If you use the strategy of always taking the path going right, what will happen?
(Note: This problem is deliberarely vague.)
(In reply to
re(6): About the by Cheradenine)
You have to make geometric assumptions so that "always taking the path going right" to be well-defined. If the maze is three-dimensional, for example, it can be meaningless. What happens if you come to a fork that goes up and down, for example? In any case, my central argument still stands. There is necessarily a short path to the starting node but not necessarily a short path toward the exit.
I think the problem is that you are tailoring assumptions that fit a preconceived answer. There is simply not enough information to properly frame the situation, much less come up with a well-defined probability (which the problem doesn't ask for anyway).