1) Casting lots 2) Conclusion 3) Decision 4) Determination 5) Drawing by lots 6) Drawing lots 7) Form of government 
In politics, sortition (also known as allotment or the drawing of lots) is the selection of decision makers by lottery. The decision-makers are chosen as a random sample from a larger pool of candidates. In ancient Athenian democracy, sortition was the primary method for appointing officials, and its use was widely regarded as a principal characte...
casting of lots; assignment by casting of lots
• (n.) Selection or appointment by lot.
election by lot, a method of choosing public officials in some ancient Greek city-states. It was used especially in the Athenian democracy, from ...
Sor·ti'tion noun [ Latin sortitio , from sortiri to draw or cast lots, from sors , sortis , a lot.] Selection or appointment by lot. [ Obsolete] Bp. Hall. 
[Difficult words] making a chance decision by using lots (straws or pebbles etc.) that are thrown or drawn[Obscure words] making a chance decision by using lots (straws or pebbles etc.) that are thrown or drawn