αὐτομάτην

From LSJ

κοινὸν τύχη, γνώμη δὲ τῶν κεκτημένων → good luck is anyone's, judgment belongs only to those who possess it

Source

Russian (Dvoretsky)

αὐτομάτην: (μᾰ) adv. сам собой, по собственному почину, самостоятельно Diod.