The real question comes from a very popular phrase from a movie, "Do you feel lucky?." Not getting a warranty when buying a used car is a gamble you don't want to take. Why? Because no matter how thoroughly the dealership or you, the buyer checks out a car, remember this is a used vehicle. It has been driven by people you don't know and serviced (or not) by personnel you did not choose.
Many used car dealerships offer 90 day warranties automatically with the cars they sell. Some do not. Whether they do or don't, almost all should have the ability to get you a warranty through companies that specialize in used vehicle coverage. In most cases you will have to pay extra for the added warranty, but believe me, it is well worth it.
Warranties can be had for used vehicles all the way up to 48 months with coverage on par with many new car plans. Roadside assistance, rental reimbursement, towing allowances and more are all part of the better plans. Most companies start getting antsy about providing coverage when a vehicle goes over 100,000 miles, but they are available. Just make sure you ask your salesman or finance representative how to get one.
So..no there is no question.......Get a warranty and don't rely on "luck."