Step-by-step explanation:
The statement "This was the king's semi-barbaric method of administering justice. Its perfect fairness is obvious" is referring to the story "The Lady or the Tiger?" by Frank R. Stockton. In the story, the king has devised a system of justice where a person accused of a crime is brought to an arena where they must choose between two doors. Behind one door is a lady, whom the accused will have to marry immediately, and behind the other is a tiger, which will kill the accused immediately. The accused has no way of knowing which door leads to which fate, and it is left to chance.
It is difficult to agree that this is a perfect system of justice as it relies purely on chance and does not take into account the accused person's actual guilt or innocence. The story is meant to provoke the reader to consider the flaws of such a system and question the idea of perfect justice. While it is possible to argue that the system is fair in the sense that both doors have an equal chance of being chosen, the story ultimately presents it as a cruel and inhumane way of administering justice. Therefore, it is not accurate to say that the king's semi-barbaric method of administering justice is "perfectly fair" as it is based on an arbitrary and unjust system.