About (a) 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.