I think it will be better if I explain my problem by example.
We have given two Facebook profiles: A and B. A is our profile and B is e.g public fan page profile with public visibility.
- Person A publishes post on B's wall.
- Now person B writes a comment under person A's post.
- Person B gives a "like" on A's post (wrote on his own wall)
Do friends of A person receive notification about A's activity in their news feed in cases: 1, 2, 3?