Posted 10 June 2013 - 12:04 PM
Replace both bulbs, as it is not uncommon to have two fail. Remember that they have both had the same amount of use. I have had this on a modern car recently, and the bulbs looked ok, but were not.
Do the sidelights work? If not, suspect a fuse, despite them seeming to be ok. Often the failure is dirt or corrosion, rather than the fuse blowing. Sometimes the wire (any wires on a Mini, almost) rots at the terminal, inside the bullet or spade connector, which is not to easy to spot.
The incoming supply to the side/tail fuse will be red, and the outgoing feed to the lights red/green, which will help to identify the correct fuse, probably an inline type, depending on model and year. Later cars have a split circuit, red still incoming from teh light switch, and red-something to one side and tail light, red-something else to the other.