Hey SilentOne - kinda makes you wish you didn't "wonder" out loud about this one, huh? LOL Anyway, the direct answer to your question is some do and some don't. It comes down to a matter of personal choice. My mother hated lying out in the sun, but my sister loves it and cherishes her tan as much (or more) than some of my white friends. Personally, I tan as a side-effect of being outside - not because I lay out and work at it. As a kid, I loved watching my light mocha color deepen into a caramel brown!
As a side note, although we are less likely to burn than our white friends, it appears that if a black person ever burns once, then they are more likely to burn in the future. (I had a similar burn experience as MochaLatte - a 24 hour boat trip!) Now, I literally feel my skin heating up and begin the burn, and I never felt that before the boat trip.