Probabilistic Context-Free Grammars can be used for speech recognition or syntactic analysis thanks to especially efficient algorithms. In this paper, we propose an instanciation of such a grammar, whose mathematical properties are intuitively more suitable for those tasks than SCFG's (Stochastic CFG), without requiring specific analysis algorithms. Results on Susanne text show that up to $33\%$ of analysis errors made by a SCFG can be avoided with this model.