happen vs come out

happen and come out both are verbs.

Word	Noun	Adjective	Verb	Adverb
happen	No	No	Yes	No
come out	No	No	Yes	No

As verbs, come out is a hyponym of happen; that is, come out is a word with a more specific, narrower meaning than happen:

Other hyponyms of happen include appear.

happen (verb)	come out (verb)
come to pass	appear or become visible; make a showing
come into being; become reality	be issued or published
happen, occur, or be the case in the course of events or by chance	break out
come upon, as if by accident; meet with	come out of
chance to be or do something, without intention or causation	take a place in a competition; often followed by an ordinal
	be made known; be disclosed or revealed
	to state openly and publicly one's homosexuality
	bulge outward
	make oneself visible; take action
	drop out
	result or end