fortuitouslyby accidentby chanceby a mere chanceby a twist of fateadventitiouslyas luck would have itby a flukeflukilycoincidentallyby coincidenceserendipitouslyby a happy chanceby good fortuneby a piece of luckunexpectedlyunintentionallyinadvertentlyinvoluntarilyunpremeditatedlyunthinkinglyunwittinglyunknowinglyunconsciouslysubconsciouslyunawaresby mistakemistakenlymisguidedlyby happenstance
