However it is possible to make the cards in your deck "random" without declumping and a major bout of shuffling taking place - or having either a computer program or a judge do the shuffling for you. If your cards were considered random at the start of the game, and through card effects you did a search, and then you destroy your knowledge of the top few cards by properly shuffling and/or cutting your deck, then the cards are still random - as was mentioned by losjackal. Theoretically any random groupings of any combinations of cards are still possible - even clumps which may occur naturally. The question is: What qualifies as "sufficiently randomizing" your deck? The answer is simple. Everyone has their own version of sufficiently random due to their knowledge of the deck, their preferences and fears and their manner of shuffling/cutting. If, in your opinion, you feel confident that your opponent has made a proper effort to sufficiently randomize their deck, then by all means cut/don't cut, and shuffle/don't shuffle according to what your conscience advises. However if you don't think they have made a proper effort in your opinion, then take my advice and shuffle/cut their deck for your own protection. Just don't take forever to do it, since once you shuffle or cut, even as few as 1 time, can make the deck random once again.