  The notion of standard positive probability distribution function (tomogram)
which describes the quantum state of universe alternatively to wave function or
to density matrix is introduced. Connection of the tomographic probability
distribution with the Wigner function of the universe and with the star-product
(deformation) quantization procedure is established.
  Using the Radon transform the Wheeler-De Witt generic equation for the
probability function is written in tomographic form. Some examples of the
Wheeler-DeWitt equation in the minisuperspace are elaborated explicitly for a
homogeneous isotropic cosmological models. Some interpretational aspects of the
probability description of the quantum state are discussed.
