Mick Jagger's daughter, Elizabeth, or Lizzy, as she is more commonly known, will appear on the cover of the June issue of Playboy.  The issue will be available on Friday and will feature a pictorial and she will talk about her upbringing, and how her parents feel about her posing nude.  Lizzy's mom, model Jerry Hall posed nude for Playboy back in 1985 so I can't imagine her parents would disapprove. Playboy photo shoot video after the jump!