What is fault bucket and should I care?
A fault bucket identification number is a number assigned by the system to identify specific types of errors. This number is used by Microsoft to identify a particular program error when you send an error report.
If you get a "this program has encountered a problem and needs to close" type error, click the 'Send error report' button, and you may get a resolution to the problem.
You could also try Googling the fault bucket number to see if you can identify the source of the errors.