Question

how did the arena serve as a place for imparting justice ? The lady, or the tiger.​

Answer 1

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In this story the king's semi-barbaric method of administering justice. Its perfect fairness is obvious. The criminal could not know out of which door would come the lady; he opened either he pleased, without having the slightest idea whether, in the next instant, he was to be devoured or married. On some occasions the tiger came out of one door, and on some out of the other. The decisions of this tribunal were not only fair, they were positively determinate: the accused person was instantly punished if he found himself guilty, and if innocent, he was rewarded on the spot, whether he liked it or not. There was no escape from the judgments of the king's arena

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