Tada! It's me again. And today I have a ""Life"" question for everyone!





In an infinite grid, there are squares of 2 colours!


The two colours and black and white!


There is something strange about the grid!


Oh! The colours of the grid are randomly generated!


Pause.


There is an x% chance that each square is white!


(Note: x may or may not be 50%)


Me comes along!


(No bad grammar there, Me is a person representative of well...me.)


Me defines a continuous block as a group of connected squares!


Two squares are connected if they satisfy two criteria!


First, they must be adjacent!


Secondly, they must be of the same colour!


Me has picked a random square from the grid (0,0)!


(0,0) is an arbitrary point!


Me knows that (0,0) is white!


For what range of x is it possible (more than 1/inf% chance) that (0,0) is part of an infinite continuous block?


And what is the chance (in terms of x) that it is possible that (0,0) is part of an infinite continuous block? (take x to be above the limit taken to make it possible to have an infinite block)