A "lottery system" is a method used to randomly choose or allocate something, usually by drawing numbers or names, for the purpose of selecting winners or distributing resources fairly. Full definition
Rather than trying to deal with the selective enrollment process or public school lottery system, we decided to look into the private schools instead. (chicagoparent.com)
He will use a weighted lottery system to ensure representative admissions. (educationnext.org)
However, they operate on a first - come first - serve model instead of on an open lottery system. (educationpost.org)