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Adjective: fortuitous  for't(y)oo-i-tus
  1. Occurring by happy chance
    "profits were enhanced by a fortuitous drop in the cost of raw materials"
     
  2. Having no cause or apparent cause
    "fortuitous encountersstrange accidents of fortune";
    - causeless, uncaused

See also: fortunate, serendipitous, unintended

Encyclopedia: Fortuitous