There are two football teams, A and B. If they play four games, the probability that A wins all the games is 1/16. Note that there is no draw in each game, and the past results of the games do not affect the current and future games.

(a) If two teams play one game, what is the probability that A wins the game? (b) If A and B play five games, find the probability that A wins exactly two games. (c) If A and B play five games, find the probability that A wins exactly three games.

(Hint: There are two ways to solve this problem: (i) If A wins three games, B wins... Also, in (b), we observed ... (ii) or, you can just count the all possible cases that A wins exactly three games.)