As not likely with three independent systems.
It would be called common mode failure, for which the system will be designed against and the safety case would support.
We do quite a lot of thinking (i.e. engineering) when designing aircraft you know.
Typhoid, forget AF447 for now-that is still undetermined. Have you read the accident report for A-320 D-AXLA near Perpignan France?
http://www.bea.aero/docspa/2008/d-la...a081127.en.pdf