Serendipitous

/ˌsɛrənˈdɪpɪtəs/ adjective medium

Happening by a lucky chance in a way that turns out to be pleasant or valuable.

Their meeting on a delayed train was entirely serendipitous, yet it changed both of their careers.

Memory Trick

The word was coined from the old tale of 'The Three Princes of Serendip,' whose heroes kept stumbling onto treasures they were not even looking for -- a serendipitous event is exactly that kind of accidental treasure.