Recently, quantum game has attracted more and more attention. Most of the studies focused on the advantages of quantum game in the case of the maximally entangled states and the certain quantum operations. In practice, the particles may not in the maximally entangled state and there are some quantum operation deviations. For this, the two factors are considered in CHSH game. It is found that when particles are in general entangled quantum states, the probability of winning for quantum strategy P is not always greater than that for classical strategy Pc, therefore suitable quantum operations should be chosen to satisfy P>Pc. The maximum of the probability of winning for quantum strategy Pmax increases with the degree of entanglement of quantum states. For some angle regions that near the angle corresponding to Pmax, P change slightly. All these results provide theoretical guidance for quantum games.