Correlation Functions – Two random patterns

When the janitor and Alice go into the next room, they pass two chess boards. Black-and-white random patterns emerge on these flickering chess boards.

At this station we will be concerned in a more in-depth manner with various black-and-white random patterns.

If “White” has been measured, how great is, in that case, the probability of “Black”, or of “White”, if a second measurement is taken?