Chances of anything happening is less than being hit by a car in the UK, but you must be aware of all posibilities whenever you visit a new country.
You are more likely to be mugged in Manila than Davao, you are more likely to be shot in Nottingham than Davao. If you go to Nottingham, you stay in public areas in the daylight.....same thing when visiting any place you don't know.
I went to Davao not long after 9/11 so it was pretty much lock-down for Westerners. As with all cities, it also depends what part you're in.
