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
picture here by qball)
Actually the one I proposed has one node, not too. Lop off the path from "start" to the first intersection, and you get mine. Note that the problem doesn't state that there is a separate entrance and exit path.