I recall having heard somewhere that it is not possible to program randomness into a computer.

Does anyone know if this is a fact?

The reason I ask is that I've been playing an on-line form of Scrabble and am beginning to notice what appears to be repeating patterns of letter distribution that seem to defy the laws of probability. If the letters are allocated by a preset formula then the game becomes one of chance rather than skill, assuming equivalent skill levels, and the element of challenge is greatly reduced. This would make the game less appealing to me.