The king takes pleasure in the uncertainty of his daughter's lover's fate.
The best summary of the highlighted section of paragraph 10 of 'The Lady, or the Tiger?' is:
The king is pleased with himself knowing that either door will dispose of his daughter's lover.
In this section, it is emphasized that the king takes delight in the uncertainty of the outcome, whether the lover chooses the door leading to the lady or to the tiger.
This reflects the king's satisfaction in the control he exerts over the fate of the accused and his daughter's lover.
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