364/365<365/366, 363/365<365/367,...,341/365<365/389
Thus,(316/365)*...*(365/365)<(316*...340)/(365*...*389)=(316/365)*(317/366)*...*(340/389)
Since 340/389<343/392=7/8, the chance is bigger than 1-(7/8)^25. lg(7/8)=0.844-0.902=-0.58
(7/8)^25 is about 10^(-0.058*25)=10^(-1.45)<0.1