When there is no preliminary information or is too costly to obtain it, the informa-tive priors provide a practical option and “ economic ” that serving as a basis forinitiating a project or a particular study. In this paper we present a methodologyfor carrying out elicitation process that allow derives from an expert knowledgeand incorporate it as a prior distribution of the parameter vectorπof the Mul-tinomial distribution. The proposed methodology accompanied by an applicationand end with some conclusions and recommendations.