example vs natural event

example and natural event both are nouns.

Word	Noun	Adjective	Verb	Adverb
example	Yes	No	No	No
natural event	Yes	No	No	No

As nouns, natural event is a hypernym of example; that is, natural event is a word with a broader meaning than example:

Other hypernyms of example include happening, occurrence, occurrent.

example (noun)	natural event (noun)
a task performed or problem solved in order to develop skill or understanding	an event that happens
an item of information that is typical of a class or group
something to be imitated
a representative form or pattern
punishment intended as a warning to others
an occurrence of something