[PvK]

On the other hand, if you _don't_ know the formula a pseudo-random number genrator is using, and it has the desired distribution, and there is no easy way to deduce the formula, then the result may be indistinguishable from a true random number.

Arguing that a distribution isn't predictable by any practical means is sufficient and entirely different from philisophical or even mathematically provable arguments that it's hypothetically possible to predict a distribution.

Certainly it is quite possible to make a pseudo-random number genrator that is impossible to predict or be considered broken from a game-player's perspective. If the distribution is right, the sequence of play itself adds a shuffling that is too complex to predict.

Which is not to say that some games don't have random number problems, or more often, algorithm bugs, which are capable of detection during play.

PvK