Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.
|
|
|
|
Re: X/O Grid
Posted:
Dec 23, 2012 3:07 AM
|
|
In article <Pine.NEB.4.64.1212182213130.17186@panix3.panix.com>,
William Elliot <marsh@panix.com> wrote:
> Consider an n by m grid of x's and o's.
>
> An x-path from the bottom squares of the grid to the top squares of the
> grid considitues a seqence of horizontally or vertically adjacent
> x-squares from some bottom x-square to some top x-square. Similar with
> o-paths.
>
> An exit is a top square that is connected to a bottom square by
> either an x-path or an o-path. For example, in the 8 by 3, x/o grid
>
> x x o o x x o o x
> x o o x o x x x x
> o o x x x o x o x
>
> has two o-exits and three x-exits for a total of five exits.
>
> In an n by m, x/o grid, what is the expected number of exits?
Look up percolation theory.
--
Michael Press
|
|
|
|
