Facebook – tattoo ad and privacy?

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So I was looking at my wife Lina using her Facebook and saw this ad on the right:

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I exclaimed oh wow – Facebook told the advertiser what her husband’s name is.  Look it says John.  I started to wonder what are the privacy implications of that, and whether there are privacy controls for this…

So I flipped back to my Facebook account, and started refreshing the page to look for the same ad.

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She exclaimed oh wow – who is Jen?

I am in so much trouble because of Facebook :-(

So it was all a false alarm – it looks like the ad only knows your gender, and displays John or Jen accordingly.