Frances Bean Cobain Comes Face To Face With Intruder

Frances Bean Cobain had a major case of stranger danger when she caught a man bolting out of her Hollywood Hills house.

Law enforcement sources tell us Cobain was home alone, in her bedroom, around 7 PM Wednesday ... when she heard a noise. When she went out to check, she saw a guy running out her front door.

We're told the scary encounter was over as quickly as it began. The suspect escaped without taking anything. Cobain immediately called police to investigate, and told officers she did NOT recognize the perpetrator.