3 or 4 games are played, unless it's a tiebreaker at the end of the season then it will be 5, if they have a 4 game series.
Another answerDuring the Regular Season there can be between 2-4 games in a series between 2 teams each however in the Postseason there can be up to 5 games and a minimum of 3 games in the first round of the Playoffs (aka the Postseason) which is called the Division Series. The 2nd round of the Playoffs which is called the League Championship Series as well as in the final round of the Playoffs which is called the World Series can each have a maximum of 7 games and a minimum of 4 games.