egj13 wroteNo we shot the free throw and played on with the rebound. Had a change of possession actually occurred since blue never gained possession? They were never awarded the ball OOB.
Possession isn't specifically defined in the rules. The NFHS should really formalize what they mean by possession as it is used in a few places without being clearly defined. Absent that, it still isn't the same as team control or disposal.
The basic principle is that possession is a status of who deserves the ball at any point in time based on what has happened (a made bucket, an infraction, etc.) Blue earned a possession by way of the travel.