statistically If you throw a dice 12 million times it will fall 2m times on each # right?
No, actually not. It is likely that the number of times it comes up 6 (or any other number) is NEAR 2,000,000. It is quite unlikely to be more than a few thousand away from 2,000,000. You can work out exactly how unlikely. For illustration, I have done your experiment 1,000 times (with perfect digital dice) and here is a graph of the number of 6s
You will see that it was usually within a couple of thousand of 2,000,000 sixes and very rarely more than 2004000 or less than 1996000. With a lot more than 1,000 runs you would get occasional runs getting results further than this from 2,000,000, with increasingly low probability. (The histogram counts results in ranges of about 1000)
The fact that the spread is quite small compared to the mean is related to the most important truth about randomness, the law of large numbers.
so how exactly is this random? wouldn't you expect a random spread?
See above graph! Probability theory tells you how random it is.
and if random is just an illusion, does it mean that every game of chess is already determined before it even start? consulting with google was surly not a random decision, lol. here are my finding:
1.Math and the art of describing randomness
its cool that you did that. however, your chart show an error margin of what? less then 1% or so? either way its very close to 2M each.
what puzzle me is why dont you get a real random and chaotic spread? like 500K at one experiment and 5M at another? how come the margin is so small?
explaining this with the phenomena of the large numbers doesnt really help, because its not a real explanation and equal to asking me for acceptance of the phenomena without understanding the 'Why' or the 'How' (reminds me the old qm saying... 'shut up and calculate')
The shut up and calculate phrase is so aurally pleasing to one’s ears; in fact, it damaged my cochlea so austerely that I could merely hearken to Beethoven’s 7th Symphony, 2nd movement allegretto. I can just imagine Richard Feynman banging the bongo drums with the same beat as the musical masterpiece, in Copenhagen. His bongo drums would be inscribed all over with an untidy scrawl of drawings of roses, the pristine sinusoid curves and mathematical equations. Perhaps there would even be a fine piece of evidence that he had victories valiantly in the Putnam math competition. But of course, this is merely to be taken into consideration if he were egotistical enough.
does happiness exist ? not in and of itself. it takes great restraint to be happy, lose 20 chess games in a row and still be beaming from ear to ear.
I discern what you did there. By utilising the word ‘beam,’ you are alluding to the Afshar experiment, the double quantum eraser experiment and a nimiety of other things for which I shall not enumerate. Now we must relate these quantum mechanical delicacies to the intrinsic value of happiness, and long live the gracious grand unified theory of everything. General relativity would prove to be great glory as it does not transcend our daily perceptions all too much, yet it would be dwindling in popularity. Meanwhile, Aristotle would be yammering on about how the universe was not like a clockwork and be introducing the notion of pseudorandom interpretations from the people of his time. Philosophy would be almost a cliche in this hypothetical universe, leading to a mass of people to instantaneously forget what they were digressing on about, which is the case with me. Except philosophy is completely beyond me and to illustrate that, I have devised a song.
philosophy is completely beyond me.
Quantum mechanical universe brings us such glee
For pessimists, it will Outline their lack of sagacity
But I am the one optimist who has attained complete stupidity