This article is explaining risk multi-attribute decision-making problem with certain probability,the concept of error-value and limit-loss-value were given on the base of ErrorEliminating theory;positive ideal matrix,negative ideal matrix and error-value matrix were built on the base of beneficial matrix,limit-loss matrix was built on the base of positive and negative ideal matrix,comprehensive-error-lost matrix was built on the base of error-value matrix,limit-loss matrix and attribute weights.Finally,expectation error-lost vector was built by the expectation theories and comprehensive-error-lost matrix,which is used as the basis of strategy choice.The feasibility and effectiveness of this model has been shown by an illustrate example.