Extended warranties are a form of insurance. They are designed to make money for the companies that sell them. The average premiums cost more than the average repairs covered. The only reason to purchase insurance is if the loss would be catastrophic. If the transmission in your truck were to fail and you don't have enough money to repair it, you wouldn't be able to get to work, would lose your job and income, your house, truck, etc., would be repossessed and you lose all the equity you have in them.
Living on the edge, beyond their means, forces people to buy insurance. It would be wiser to buy a cheap clunker that you can pay for without financing and save the interest and insurance (extended warranty). Very soon you will have enough money to pay for repairs if needed. And eventually a nice vehicle without financing.
Of course the government decided all drivers must show proof of financial responsibility (typically by buying insurance). Who's idea do you suppose that was? Surely not insurance companies? And how could an insurance company get your senator or representative to vote for such a thing? We have the best elected officials that money can buy!
And since requiring car insurance has worked so well, let's try applying that to health insurance, eh?