Babies/Pets intuition?

A

My friend was telling me recently about how her dog "sensed" a bad guy behind her and ran him off before he could get to her. This same friend told me her baby cries every time she enters a certain room in her house and, her dog barks at that door randomly and weird things happen in that room like the curtains coming completely open by themselves or the area rug being flipped completely upside down. It's weird.

Do you think babies and animals have some sort of 6th Sense? Do you have any experiences like this?

And if babies do have a 6th sense, when do we lose it?