Thad: I don't remember which website it was, (Could have been here, could have been one of the others I play at), but I think one way they make them "random" is by determining the roll by the exact fraction of a second that the player clicks on the game to play it, thus somehow determining the roll. (Which I guess, technically, isn't random at all)

Or maybe I dreamt it.. LOL ...

As has been discussed before, I think most people only "remember" those times that they don't seem very random.

There are times that I, too, would like to see what my opponent's roll is going to be.. (Though, honestly, I don't care that much) I think it is because on a turn based site, it can be SO long before you see the game again, that it's nice to see what your opponent may do with his/her next move, and make a judgment on the move you just made. (Whereas if you have to wait until it gets back to you, your own move isn't very "fresh" in your mind)