a player's experience with a game is framed, rather than mathematical.
feeling of randomness
the feeling of randomness creates a sense of open-ended possibility and players are rewarded for taking advantage. the feeling is more important than randomness itself. if the feeling is somehow decreased, it may result in a dryer and more competitive experience for the player.
giving players the avenue to see a pattern in the game's chaos helps create meaningful play. therefore, meaningful play is the main goal of every game.
non-randomness in games can be meaningful if players have a fair opportunity to best their opponents. whereas randomness can be meaningful if players are able to make interesting choices.