hap (n.)

c. 1200, "chance, a person's luck, fortune, fate;" also "unforeseen occurrence," from Old Norse happ "chance, good luck," from Proto-Germanic *hap- (source of Old English gehæp "convenient, fit"), from PIE *kob- "to suit, fit, succeed" (source also of Sanskrit kob "good omen; congratulations, good wishes," Old Irish cob "victory," Norwegian heppa "lucky, favorable, propitious," Old Church Slavonic kobu "fate, foreboding, omen"). Meaning "good fortune" in English is from early 13c. Old Norse seems to have had the word only in positive senses.

hap (v.)

"to come to pass, be the case," c. 1300, from hap (n.) "chance, fortune, luck, fate," or from Old English hæppan.

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Definitions of hap from WordNet
hap (v.)
come to pass;
Synonyms: happen / go on / pass off / occur / pass / fall out / come about / take place
hap (n.)
an accidental happening;
From wordnet.princeton.edu