Originally Posted by FrankScoblete View Post
Are the results of randomness changed based on what cards you hold and/or disgard? If you get three aces, for example, would that change how many aces you can get on the next draw? Obviously yes. So would that change the cards or patterns of the cards over time? I think yes. We are still dealing with randomness in the distribution but on the draw the number of certain types of cards would change, meaning fewer of "this card" and more of "those cards." Just some thoughts off the top of my head.
Right you are. The distributions of individual cards are always based on the available cards. On the draw the discards are not available which would change the distribution slightly. Of course, each game is different and the changes for games like deuces and bonus games would reflect that difference.

This is all factored into the expected return of the game. For example, if you always pressed draw without holding any cards the actual distribution of every card would be the same. However, the frequency of the various winning results would drop significantly. Same would hold if you held every card in each hand. In this case we know the RF distribution would be ~650K hands. This is why the expected return of those kind of strategies would be horrible.

However, the main point still stands. You can't make a machine give you non-random distributions (of the available cards).