  John Bell taught us that quantum mechanics can not be reproduced by
non-contextual and local Hidden variable theory. The impossibility of replacing
quantum mechanics by non-contextual Hidden Variable Theory can be turned to a
impossible coloring pseudo-telepathy game to be played by two distant players.
The game can not be won without communication in the classical world. But if
the players share entangled state (quantum correlation) the game can be won
deterministically using no communication. This again shows that though quantum
correlation can not be used for communication, two parties can not simulate
quantum correlation without classical communication. The motivation of the
article is to present the earlier works on Hidden Variable Theory and recently
developed pseudo-telepathy problem in a simpler way, which may be helpful for
the beginners in this area.
