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10 kids are randomly grouped into an A team with five kids and a B team with five kids. Each grouping is equally likely. There

10 kids are randomly grouped into an A team with five kids and a B team with five kids. Each grouping is equally likely. There are three kids in the group, Alex and his two best friends, Jose and Carl. Define the events J and C as:

  • J: Alex ends up on the same team as Jose
  • C: Alex ends up on the same team as Carl

Are the events J and C independent? Prove your answer by showing that one of the conditions for independence is either true or false.

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