A group of 8 people have gotten together to play kick-ball. The game will includes 4 players on each team. One team will have green jerseys and one team yellow jerseys.
(1) How many manners can the teams be formed? (This includes who gets what uniform)
(2) Assume two of the players are Bob and Sam. How many teams can be formed if Bob and Sam are on the same team?
(3) If teams are picked at random with all possibilities equally likely, compute the probability that Bob and Sam will be on the same team? (Give to the nearest 0.01).
(4) If teams are picked at random with all possibilities equally likely, determine the probability that Bob and Sam will not be on the same team? (Give to the nearest 0.01).