ICAO Annex 13 defines an "incident" as
An occurrence, other than an accident, associated with the operation of an aircraft which affects or could affect the safety of operation.
Is there good record keeping about incidents globally? Not like Aviation Global Incident Map which only really only lists accidents and some airport issues.
For completeness, the same document defines an "accident" to be
An occurrence associated with the operation of an aircraft which takes place between the time any person boards the aircraft with the intention of flight until such time as all such persons have disembarked, in which (a) a person is fatally or seriously injured [...], (b) the aircraft sustains damage or structural failure [...] or (c) the aircraft is missing or is completely inaccessible.
Only incidents that an airliner pilot is aware mid-flight and can do something about -this a start to follow-up. question. Exact likelihood is not important- is it 10% or 20%. For passengers, the likelihood is not important since pilots handle mainly well.