Final Answer:
The exception to rule 6.4b(2) in golf, where the opponent may not cancel a player's stroke made out of turn, is c) If the player's stroke significantly improves their position.
Step-by-step explanation:
In golf, rule 6.4b(2) outlines that an opponent may not cancel a player's stroke made out of turn unless there's an exception. This exception, as per choice c, occurs when the player's stroke significantly improves their position. This provision allows for the acknowledgment of a stroke made out of turn if it results in a substantial enhancement of the player's position on the course.
When analyzing this situation, it's essential to consider the impact of the stroke made out of turn. If the stroke significantly alters the player's position, potentially improving their score or altering their standing in the game, it is admissible under this exception. However, this allowance is not contingent upon the opponent's actions, presence, or previous cancellations. Instead, the focus remains on the effect of the stroke on the player's overall position in the game.
Therefore, this exception under rule 6.4b(2) emphasizes the significance of a stroke that notably enhances a player's position, irrespective of the opponent's actions or presence on the golf course. This provision aims to ensure fairness and acknowledge strokes that genuinely impact the player's performance in the game, allowing for recognition when there is a substantial improvement resulting from a stroke made out of turn.