How to use random walks in a binary image ?

I have a binary image in which I want to make random walks. The image consists of black and white parts, in which white means hole. The program will scan the matrix of the binary image and the random walk will begin at a pixel with '1' and continue only in the area of '1'. If the next step of the random walk leads to a 0, then it will stop. I am new to Matlab, so I don't know how to start with all these. Does anyone know how I could manage with this issue?