jusplay4fun wrote:BUT NO no one really cares about randomness in pi; we cannot change PI and it does not impact our fun while playing game, as least not in any tangible way. Dice impacts lots of fun and games and cause us to win and lose. Those wins and losses impact our psychological frame of mind. That is why randomness of dice MATTERS to us.
You are somewhat missing my point. This is the problem with probability, it relies on the unknown, before it is known. It's a lot like Quantum Mechanics before you actually make a measurement at which point things become known. The result of a random sequence over time must result in an irrational number (because if there is any point where it starts to repeat the previous sequence it fails the basic requirements of a random number). Drop yourself at any point on the PI sequence and the next digit in the series is basically "random."
I'll give you an example of bad random. The basic Unix rand function was bad. When you used the real number to create a dice score depending on the sides of the dice you wound up with a repeated pattern.
D2: 0,1,0,1,0,1,0,1 ...
D4: 0,1,2,3,4,0,1,2,3,4 ...
I literally had to show that to the forum programmer in order for him to switch to a more proper random function.
Random doesn't really apply to games like the Lottery. This becomes a study of mind games and the way the mind treats good and bad results differently.
These same factors apply even when "random" doesn't really apply; millions fall for the Publisher's Clearing House letters telling them to send back the letter (along with that optional item order). Everyone knows that there is no way in hell they will win, but they want to win, so they do it anyway.
This applies to CC. There are two factors to consider.
1) The dice are not your friends - the system favors the defender.
2) You only see your attack dice - the horrific failures of your opponent are never seen. (Not that you need to have perverse pleasure in your opponent's misfortune.)
"random" does not mean you equally win and lose especially when your odds of loosing are higher than your odds of winning (on the average 3 - 2 roll, not on the 3 - 1 roll)
The history of your dice rolls is like any irrational number. You can't go back in time to change it. As such the behavior of that history is the same as any irrational number. If it was a rational number, the process wouldn't pass the proper test of a random sequence generator.
