AndyDufresne wrote:Hehe...the whole idea of fair dice over 3-4 rolls per turn is absurd...due to probability. Anything can, and most likely will happen, in that short span.
--Andy
It's not that every short span should be identical and follow what the odds predict- the true test of randomness is whether everything in the short term follows the distribution you would expect to see based on how often it should occur.
If you lose twice in a row and win twice in a row much more often than would be expected there is certainly a problem. But even with 4 rolls it would reflect the expected distribution, which creates a problem for finding and analyzing any trends that seem out of the ordinary.
The dice analyzer has effectively proven what most people suspected all along. If someone wants to actually analyze the randomness of the dice a program will need to be created that keeps track of streaks. How many times do you win 2 in a row? 3 in a row? etc. This would need to be done for each rolling situation, though I think 3v2 and 3v1 are the only ones that really matter. Then once a ton of data is collected those occurrences could be plotted and we would see if it matches the expected distribution. Lots of fun work huh?
And you could do all that and the trend may match the distribution exactly....at least it would settle the debate once and for all though!