  The principle of Batyrev and Manin and its variants gives a precise
conjectural interpretation for the dominant term for the number of points of
bounded height on an algebraic variety for which the opposite of the canonical
line bundle is sufficiently positive. As was clearly shown by the
counter-example of Batyrev and Tschinkel, the implementation of this principle
requires the exclusion of accumulating domains which, are found most of the
time by using an induction procedure on the dimension of the variety. However
this method does not yield a direct characterisation of the points to be
excluded. The aim of this paper is to propose a measure of freedom for rational
points so that the points with sufficiently positive freedom are randomly
distributed on the variety according to a probability measure on the adelic
space introduced by the author in a previous paper. From that point of view the
rational points which are sufficiently free ought be the ones which respect the
principle of Batyrev and Manin.
