Hill was 6 of 9 from the floor. Carmichael grabbed nine rebounds for the Redbirds (11-9, 2-6 Missouri Valley), who avenged a 77-75 loss to Indiana State in Terre Haute, Ind., on Dec. 30.
Manny Arop led the Sycamores (12-7, 5-3) with 13 points. R.J. Mahurin added nine points and eight rebounds but missed a game-winning 3-pointer at the buzzer.
Jake Odum put Indiana State ahead 53-51 on a jumper with 3:53 left, but that was the Sycamores' last lead. Illinois State scored the next seven points on a Hill layup, a John Wilkins tip-in and three free throws. Odum's two free throws with 6 seconds left pulled Indiana State within 59-58, but the Sycamores could get no closer.
Officials: North Carolina must show proof of discrimination-free zone, or lose NCAA tournament games
North Carolina must prove to the NCAA that its host arenas will provide a discrimination-free zone or risk losing NCAA tournament games in 2017 and 2018, multiple officials told ESPN.
Jalen Rose and David Jacoby examine the new NCAA draft rule and consider how it would have affected "The Fab Five."
Florida and Duke will meet on Dec. 6 in the Jimmy V Classic at Madison Square Garden as one of two high-profile games to help raise funds for cancer research.