I deal with this all the time in the car audio industry, bad main rail capacitors. Might have 1 or 2 blown. But they all need replaced. Changing just the bad ones, results in the rest of them blowing and the amplifier comes right back to you for further repair. 

Matter of fact, I have seen a few where other people have replaced only one or two caps. And the rest of them failed.  Now granted car audio equipment are in very different environments, and they are pushed much harder than most common computer stuff. But the concept still applies, its all electronics and they all do the same thing in the end.