After which of the following events is the ball awarded out of bounds?

The ball is awarded out of bounds after various game events that disrupt the flow of play. In the context of the question, after each of the scenarios presented, the game does indeed call for the ball to be out of bounds.

When a violation occurs, such as traveling or double dribbling, the result is usually a turnover that places the ball out of bounds to the opposing team for an inbound pass.

In the case of a field goal being made, after the basket is scored, the game is reset, and the ball goes out of bounds to the non-scoring team to allow them to initiate the next play. This cycle of resetting the game is typical after a successful field goal attempt.

In the event of a held ball—where two players from opposing teams simultaneously gain possession of the ball and neither can maintain control—the official calls for a jump ball, which results in the ball being awarded out of bounds based on the possession arrow.

Since each listed situation leads to the ball being declared out of bounds for a subsequent play to continue effectively, it correctly aligns with game rules and scenarios encountered within a basketball game. Hence, the correct response is that the ball is awarded out of bounds after all these events.