Thread: probablilites of my path

On the coordinate plane, I am at position (5.5,0). I am also directly moving west, looking at the point (0,0). When I hit a point with both integer coordinates (lattice point), I move with equal probablilty either 45 degrees to the left or 45 degrees to the right from my current path.

What is the probabliity that I will reach the line x=0 before I reach the line x=10 (so any point on those lines). Remember I am currently moving west, starting at the point (5.5,0)

Hints would be nice.
Like what would the problem require? Recursion? anything?

I really do not want a full solution...because I the challenge of solving it myself.

First of all, what is required is a good bit of clarification.
“move with equal probablilty either 45 degrees to the left or 45 degrees to the right from my current path.”
What is the world does that mean? How does one move any number of degrees left or right?

I am fairly sure this is just a random walk problem. But that makes no sense.

Im guessing you just turn?

Like once you reach (5,0) you turn 45 degrees to your right or your left with equal probablity and keep on going until you reach another lattice point, where you turn again (so at (5,0), youll move either to (4,1) or (4,-1))