The noun incidence means an occurrence or the rate of occurrence. The noun incidents is the plural of incident--an event or episode.
Examples:
- About half of all cases of breast cancer occur in women over the age of 65, and its incidence rises with increasing age.
- "The great secret of a successful marriage is to treat all disasters as incidents and none of the incidents as disasters." (Harold Nicolson)
Practice:
(a) The United States has a higher _____ of crime than other Western industrial countries.(b) Journals can be used to record funny _____ that are part of the family history.
(c) Most piracy-related _____ in Asian waters are limited to petty theft.

