Adverbial by chance has 4 senses
  1. incidentally, accidentally, by chance - in an incidental manner; "these magnificent achievements were only incidentally influenced by Oriental models"
  2. perchance, by chance - through chance, "To sleep, perchance to dream.."
  3. haply, by chance, by luck - by accident; "betrayed by a word haply overheard"
  4. by chance, accidentally, circumstantially, unexpectedly - without advance planning; "they met accidentally"
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