It is proposed that ratios of the sixth order to the second order cumulant (C6 C2) of conserved quantities are sensitive to the chiral crossover transition. Recently, the negative C6 C2 was obtained in both theoretical Lattice QCD and experiments at √sNN = 200 GeV. In this study, we investigate the behavior of C6 C2 net-proton in statistical Binomial distribution (BD) at √sNN = 200 GeV in Au + Au collisions. With the BD parameters extracted from RHIC/STAR, it is found that C6 C2 can be negative. Furthermore, the obtained C6 C2 becomes smaller...