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Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the second album consists of 13 songs by Cliff Richard, and the third album consists of 8 songs by John Denver, including "Take Me Home, Country Roads". She programs the shuffle function on her iPod to randomly select 10 songs from the three albums, not repeating any of the songs.

  • Find the probability that in one run of the shuffle she will not listen to a single song by John Denver.
  • Find the probability that in one run of the shuffle she will definitely listen to "Take Me Home, Country Roads".
  • Find the probability that in one run of the shuffle she will definitely listen to "Take Me Home, Country Roads", but no other John Denver song.

Statistics and Probability, Statistics

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