to which I replied: In practice, such a characteristic as the mean square deviation of a random sequence (+ 1-1) at a certain moment (the number of 100 tests) is (+1) 4 sigma (√ (100 × 0.5 × 0.5) = 5; 5 * 4 = 20 total (+1) = mathematical expectation (50) + 20 = 70)! the observer understands that further deviation towards (+1) is extremely unlikely and, on the basis of this, assumes that (+1) (-1) a certain time will go nostril to the nostril or will predominate (-1). for the new observer not put in the course of the case the probability of deviation into one sigma and in (+1) and B (-1) will be equally probable! hence we draw conclusions that colleagues are extremely careless and do not keep a test log! but how does the random sequence (+1; -1) refer to the change of the observer? in my opinion she just will not notice.

an experienced mathematician who has repeatedly brought to such an issue grumbles over his shoulder "most likely the coin is not perfect and God knows how many times she submitted before the test and which side and generally she has no memory!" and will gallop to continue to solve their favorite equations. and the coin is new, perfect and before the tests on it and the fly did not sit! so it is logical to assume that (+1) (-1) a certain time will go nostril to the nostril or will prevail (-1). hence the conclusion is scary. the random sequence (+1; -1) is continuous! I did not get an answer!

citation: The coin does not possess memory, therefore the test log of some new information will not give.

to which I replied: a random sequence with a large number of steps approaches a Gaussian (which I use). There is no memory, but by virtue of that the probability is 0/1 = 50% the result is predictable? 1 and 0 will appear with a predictable frequency. I did not get an answer!

citation: Many players mis-apply the concept of 'the law of large numbers' and this may be tripping you up too. It is true that an anomaly like 67% heads tossed in small numbers will almost certainly disappear in large numbers, but the way this happens is not by the coins developing a 'will to correct' - being inanimate objects. The anomaly disappears because the larger set of numbers will cause that anomaly to become insignificant.

Explain with the help of formulas the development of events!