  We provide frequency probabilistic analysis of perturbations of physical
systems by preparation procedures. We obtained the classification of possible
probabilistic transformations connecting input and output probabilities that
can appear in physical experiments. We found that so called quantum
probabilistic rule is just one of possible rules. Besides the well known
trigonometric transformation (for example, for the polarization of light),
there exist the hyperbolic transformation of probabilities. In fact,
`hyperbolic polarization' have laready been observed in experiments with
elementary particles. However, it was not interpreted in such a way. The
situation is more complex with the hyperbolic interference of alternatives.
