I've heard more than one consumer-advice expert say that extended warranties generally are a waste of money except in the case of laptop computers. The reason is that they get moved and banged around a lot, are often subject to temperature extremes (e.g., sitting inside a hot car), and are expensive to repair and replace, so they're more likely to fail than are most items. I bought AppleCare for my 2008 MBP. Three weeks before it expired, the logic board went out, so AppleCare more than paid for itself.
I bought AppleCare for my first iPod, using the same reasoning, but that iPod outlived its AppleCare coverage. I was talked into buying a Best Buy extended warranty for an expensive A/V receiver I bought in 2004. That receiver has been used heavily and is still going strong. Other than those items, I've never purchased an extended warranty. Being a gadget geek, I've bought more pieces of electronic gear and appliances in my 53 years than I can count. Not one of them went bad during what would have been the extended-warranty period; they either failed during the initial warranty period, lived long lives and died natural gadget deaths, or became obsolete while they were still working fine.
So I look at it this way: I would have spent many thousands of dollars in extended warranties if I'd bought them for every item for which they were offered, and all of that money (with the exception of my MBP's AppleCare) would have been wasted. In the long run, it makes more financial sense to me to take a chance that something will fail during the extended-warranty period. In the worst case, I'd have to buy a new item, which would be $1,000 to $3,000 in the case of an Apple computer. That's not pocket change, but it's not like failing to have health insurance or homeowner's insurance, which can bankrupt you. However, for people who don't buy that many gadgets, I understand that the peace of mind that comes from having an extended warranty is a value.