Which of the following is NOT considered a correctable error?

The reason "Attempting a free throw under any circumstances" is classified as NOT a correctable error is that it does not pertain to an instance of misapplication of the rules that can be fixed during a game. Correctable errors typically involve situations where the rules have not been applied correctly, resulting in a specific player not receiving their rightful opportunities or the wrong procedures being followed.

In contrast, the act of attempting a free throw itself, regardless of the context, does not imply an error that can be rectified later. Instead, it is a standard part of the gameplay process. Correctable errors are events that can be rectified by the officials to align the game with the rules, such as if a free throw should have been awarded but wasn't, or if a player who shouldn't have been involved in an attempt was allowed to shoot.

In this case, the other options illustrate situations where the referee made a mistake that could be amended: failing to award a free throw when it was due, mistakenly assigning the ball to the wrong team, and allowing an incorrect player to take a free throw. All these instances can be corrected if acknowledged in a timely manner during the game, which is not applicable to merely "attempting" a free throw