Data and parameters of the proposals being selected may be not assured. This uncertainty of data and parameters can be expressed as random variables. The paper is about how to use random decision criteria to select independent proposals where investment capitals available are limited and cash flows or parameters are random variables. The paper first simply introduces the decision criteria on random condition, and gives the common methods to get these values of decision criteria. Then the general model of independent proposals decision with limited capital under random condition, and the solutions of proposals selection are put forward. In the last section a numeric example is given to show how to use software to select independent proposals with random cash flows and limited total investment capital.