Final answer:
The player is not penalized; the opponent may replace his or her ball or play it as it lies. Therefore correct answer is option 3.
Step-by-step explanation:
In accordance with the rules of golf, when a player inadvertently drops their ball and it comes into contact with and displaces an opponent's ball at rest on the putting green, the correct ruling is option 3: The player is not penalized; the opponent may replace their ball to its original position or opt to play it from its new location.
This ruling voilates on the fundamental principle that the player's actions were unintentional and did not involve any deliberate effort to influence the movement of the opponent's ball. In golf, penalties are typically assessed for intentional actions that confer an advantage or result in a breach of the rules. In this scenario, the accidental nature of the incident distinguishes it from situations where penalties might be warranted.
The player, having committed no deliberate offense, is exempt from penalty. However, the opponent, whose ball was affected, is granted the prerogative to choose between reinstating their ball to its initial position or playing it from its altered location. This flexibility recognizes the importance of fairness in the game, allowing the affected party to decide on the course of action that best suits their strategic considerations. Ultimately, the rules of golf prioritize sportsmanship and integrity, and the absence of intent in the player's actions leads to a ruling that emphasizes these core principles.