1. An apparatus for analyzing the colors of a print painted with n distinct colors C.sub.i where i ranges from unity to n, and wherein each of the colors has a predetermined spectral reflectivity distribution having a set of mean values of reflectivities, comprising: first means for representing the spectral reflectivity distribution of a light reflected from an elemental area of the print by electrical signals x.sub.1 to x.sub.r, where x represents the spectral intensity r representing a position in the color spectrum is an integer, and wherein the spectral intensity varies as random variables of multiple numbers in accordance with a predetermined conditional probability density function p(x.vertline.C.sub.i); second means for representing the spectral reflectivity distribution per unit area of said print by electrical signal X'.sub.1 to X'.sub.n ; means for multiplying the set of X'.sub.1 to X'.sub.n and the inverse matrix of said mean values of reflectivities to generate a probability P(C.sub.i) in accordance with which each of said colors occurs in said print; means for computing the product P(C.sub.i)p(x.vertline.C.sub.i) by substituting x.sub.1 to x.sub.r for x; and means for detecting C.sub.i which maximizes the value of said product.