There are a total of 32 NFL teams. 15 NFL teams are named after types of animals and 15 are named after types of people. Of the teams named after animals, 8 are in the American Football Conference (AFC). Of the teams named after types of people, 6 are in the AFC. All 32 teams are in either the AFC or the NFC (National Football Conference). Each conference has the same number of teams. One NFL team is selected at random. Find the probability of selecting
  1. an NFC team.  
  2. an NFC team named after an animal.  
  3. an NFC team given that the team is named after an animal.  
  4. a team named after neither and animal nor a type of person.  
  5. a team named after a type of person given that the team is in the NFC.  
NOTE: Enter an exact answer---not a calculator answer.