What is the difference between Accident and Incident?

What is the difference between Accident and Incident? : 

Accident : 

( 1 ) Event that happens unexpectedly and causes damage and injurt and so forth

Fives persons were killed in a road accident. 

( 2 ) Chance – fortune

By accident of birth, he is entitled to British Citizenship. 

Incident : 

( 1 ) Event or happening of minor importance

He narrated every trial incident in great details. 

( 2 ) Hostile military activity between countries or opposing forces 

There were many border incidents in the recent past. 

( 3 ) Public disturbance – accident or violence

Rge demonstration proceeded without incident.