  Examples of games between two partners with mixed strategies, calculated by
the use of the probability amplitude are given. The first game is described by
the quantum formalism of spin one half system for which two noncommuting
observables are measured.
  The second game corresponds to the spin one case.
  Quantum logical orthocomplemented nondistributive lattices for these two
games are presented. Interference terms for the probability amplitudes are
analyzed by using so called contextual approach to probability (in the von
Mises frequency approach). We underline that our games are not based on using
of some microscopic systems. The whole scenario is macroscopic.
