There's no such statistics, only MBTI has such statistics due to the fact that they have "tests", which is supposed to be an objective measurement of a typing (even though the problem is that you may get different results each time you take the test).

So Socionics has no tests, Socionics has to rely on personal typings, which may not be considered to be valid at all. Even then, it's the only thing that Socionics has. So if you are typed LIE by multiple people independently, then that will increase the probability of being an LIE by a significant amount.

Well anyway this question/formula is pretty absurd, since we don't really know the actual statistics of the number of LIEs in a total population.