Topic: Random walk to a destination

Some readers will be familiar with random walk methods.

For example, in two dimensions on a game board consisting of a grid of squares, choose one of two coins, a silver coin and a bronze coin. randomly. Spin the chosen coin, on the basis of the result, move a playing piece, which could be a chesspiece or a bottle top or some ornament on square in the indicated direction. Repeat until some event occurs, like reaching the edge of the board, occurs.

Silver head, move one square in +x direction
Silver tail, move one square in the -x direction
Bronze head, move one square in the +y direction
Bronze tail, move one square in the -y direction.

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Suppose however that one wants a random walk that for each run starts at (0, 0) and by whatever route it takes, the playing piece reaches (2, 0).

How would one arrange to do that?

I have thought of a way and depending up the details chosen, some very interesting results occur.

How would you design a way to have a random walk to a desination simulation?

Ordinary random walk methods can be applied to gain an insight into heat conduction in an object whose shape is not a simple shape.

I am wondering how, if at all, random walk to a destination could be applied to practical problems.

William