in a system that works the way quantum mechanics does, there is a 50% chance that opening any pair of doors (on the gray side, the white side, or the black side of each of the boxes in the schematic diagram) will give rise to a match. for instance, earth could open the door in the gray side of its box, and vulcan could open the door in the black side of its box. quantum physics says that half the time they should get a match. but if the decision to produce a certain color for each of the doors opened is programmed into both boxes, then there is a 55% or greater chance of getting a match.