'selection by lot' is correct and usable in written English.
You can use 'selection by lot' to refer to a method of making decisions or choices by randomly drawing from a pool of people or objects. For example: "The school principal used a selection by lot to choose the student council representatives."
At a stroke, sortition – selection by lot – would achieve Andrew Adonis's and Paul Tyler's objectives (Status quo is not an option, Comment, 23 April) of making the second chamber more representative (in the same way a jury is representative) and cheaper to run (I'm sure most of us would accept a fraction of the daily £300 peers currently get for attendance).
Socrates had played his part as an ordinary citizen, allowing his name to go forward for selection by lot to serve on the Council, and serving in the army when required.
Strikingly, his example of such a regime is Sparta: presented as a case of a characteristically democratic distribution of education (among citizens only, of course) coupled with the characteristically aristocratic principle (but also a practice widely used in Greek democracies for some offices) of election to offices rather than selection by lot (IV.9).
Then, a random selection by lots of the participants was also performed.
First, a simple random selection by lots of one public and one private school was performed for each of the nine health districts, totaling 18 schools.
The selection criterion for this sample was by lots, carried out in the classroom on the same occasion as the selection by lots of the adolescents in the main sample.
The draw was conducted in two tiers: First, an order of selection was established by lot.
The selection was made by lot, and Sarmiento was not one of the scholars whose name was drawn.
By the end of the 3rd century ad, with hereditary membership gradually replacing the recruitment of councillors by lot, election, or selection by magistrates, the boule had everywhere become a permanent body and gradually came to resemble the curiae of the Western Roman Empire.
Virginia state law requires ties to decided "by lot," a random selection process such as the one employed in this election, or drawing straws or flipping a coin.
The man he chose by lot, Charles Asgill, should have been ineligible for selection due to the terms of the Yorktown surrender.
