In probability theory there is a great deal of art in setting up the world, in solving the problem, and in applying the results back to the real world actions that will follow. -- The Art of Probability, Richart Hamming
For practical purposes we are forced to accept the awkward concept of "relatively random" meaning that with regard to the proposed use we can see no reason why they will not perform as if they were random(as the theory usually requires). This is highly subjective and is not very palatable to purists, but it is what statisticians regularly appeal to when they take "a random sample" -- they hope that any results they will have approximately the same properties as a complete counting of the whole sample space that occurs in their theory. --- Hamming on randomness. BETWEEN FRIENDS I ANSWERED: Well I disagree in a way. First assumption Mr. Hamming says that because a late rise is difficult to grasp. No, I know we did not have the technology to calculate many of the curves. Second, just because there are paradoxes we lack grounded intuition? Ha! Life itself is a paradox if you want to look at it like that, and intuition has helped us to survive as species. I suppose he is referring as art because the entree data can be subjected to opinions and not facts or subjective matters or populations that are not clearly defined. BUT there are many practical fields where probability is a very useful and powerful tool. Example: thanks to Markov chain theory we have electricity at home, number of roads per car, number of bank clerks per client... all need probability. Do you want to know if a product is within acceptance quality range? Use probability... The fact that people do not like forecast is because the lack of control they want to have about something... I just read your thoughts about Evolution and they are indeed immersed in probability... Genome is governed by probability law. We can be so accurate now that for the scale that human life is; it is enough to be in a very ample range like in the calculations for the driveless car. And about randomness it depends of the number of objects that the sample has and how it is treated, there is a need of sufficient items in the sample to counted as random, there has been many experiments to probe randomness very interesting ones maybe I shall talk to them in a video... And so, the videos went...THEN MY WONDERFUL FRIENDS TOLD ME....Randomness is in this context is subjected to a random seed key used for different cryptography algorithms. Randomness in itself is relative in nature, true randomness is possible but highly impractical in real world scenarios, like in cryptography. Entropy sources like radioactive decay, mouse clicks (not completely random though) provide the source of complete randomness.
Randomness does depend on the the number of objects but still I do not agree in this manner. For example, Binary bits can provide relative randomness for different purposes. Randomness is very interesting topic in itself, and may need a complete class of thoughtful discussion to overcome it's subdue complexities. MY ANSWER WAS.... Yes, you are right but we are talking about different range of measurements, in all those examples you are talking about the edges of randomness where you can not be sure about it. I am taking where dimensions are so big and/or small and contained (let's think that is where... Newtonian Laws can be applied). That is why even the notations get confusing and the angry statistician went mad(among other details) in the class of Intro to Statistics by Sebastian Thrun. I do not know if you took the class and saw the comments. THEY SAID: did the class, but didn't saw the comments he he.. SOMETHING HAPPENED IN THE CLASS...You saved yourself of a great deal of controversy that even the Professor gave an opinion in the Udacity Blog and I posted my opinion too in my blog. Oh! It was very dramatic at that time for me, today I really would like an harmonic understanding...
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