The pure flooding is considered the common mechanism have been proposed to distribute the Route Request Packet in DSR protocol. This strategy is simple and easy to implement but it suffers from a serious problem lead to the broadcast storm problem. There are several probabilistic approaches are used to overcome this problem. In this study we developed a mathematical model that can be used locally by each node within the network to calculate a retransmission probability (p_t) as a function of number of first-hop neighbors (k). In order to evaluate the performance of the proposed algorithm, a number of scenarios were simulated using the MANET Simulator (MANSim). The performance of the new model was evaluated and compared with pure and other probabilistic algorithms to estimate the enhancement it achieves over the current probabilistic algorithms. The model enhances the performance of probabilistic broadcast by increasing network reachability with an acceptable increase in the number of transmissions especially in the low and moderate node density.