On one paradox of law of large numbers for maximum series in the series circuit of carpenters

The previously published results of investigating laws governing the formation of series in the series circuit are augmented and refined. The limited forms of the laws of distribution of the length of the maximum series, formed by position relative to median and order relation between the adjacent individual values, are obtained. It is established that the limited form of the distribution of the length of a maximum series of the order relations behaves paradoxically, cyclically evolving from the singular distribution with the isolated mode to the binary with the mode, symmetrically split to two contract of those standing of value.