Six years after they took a promotional test, New Haven firefighter Frank Ricci and 19 of his peers are about to get more clarity on whether the test’s results will count.

U.S. Supreme Court Chief Justice John Roberts said Thursday that the Court will hand down rulings on all three remaining pending cases — including the highly anticipated Ricci v. DeStefano case — on Monday morning. It is possible that even after the Court rules that the test’s fate will still be unclear; many observers think the Court will remand the case back to the 2nd U.S. Circuit Court.