Don't think that 3 yo cars can't break down!! I had a brand new Company car a few years ago which packed up after 2000 miles with an oil pump failure and I often see new or nearly new cars on the side of A roads or motorways with the breakdown truck in attendance.
I believe its always worth having some sort of basic cover - if you do any sort of distance away from home it gives peace of mind. I've called out the RAC when I had a puncture on a dangerous bit of Motorway - they parked their van up behind me on the hard shoulder with the warning lights flashing whilst the tyre was rapidly changed - reduced the chances of a half asleep lorry driver running me down as I was changing it!!!
I've got "all singing,all dancing" b/down cover for 2 cars in the UK for ~£90 pa (not a lot when the car tax alone is ~ £400 pa!!)