由分布列的性质可得a+b+c+ 1 12 =1,①又可得Eξ=-a+c+2× 1 12 =-a+c+ 1 6 =0,②Dξ=(-1-0)2a+(0-0)2b+(1-0)2c+(2-0)2× 1 12 =1,化简可得:a+c+ 1 3 =1,③联立②③可解得 a= 5 12 c= 1 4 ,代入①可得b= 1 4 故答案为: 1 4