What was the Ancient Greek term for the practice of 'casting lots' to fill vital positions in the Athenian government?

Factual Questions
1

Ancient Greek allotment machines were known as Kleroterion(plural. Kleroteria). What was the pracice of alloting positions to Greek citizens to fill government positions in the Athenian government . Could it be klḗros ?

2

This scholarly article uses the term klerosis.

3

I think you may be looking for

4

That’s the word, but it’s not Ancient Greek.

5

Thanks Schnitte