From a pure numbers perspective, an extended warranty isn't worth it. The manufacturers don't offer them to protect you--they offer them to make money. And they are priced in such a fashion.
I'm sure you'll find plenty of people who, from a financial perspective, came out ahead by having an extended warranty. You could be one of these people as well. These are the outliers though. On average, it will not save you money.
With that said, there are other intangibles, such as peace of mind, that an extended warranty provides. You just have to decide if that is worth the cost to you.
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