 Of the 23 players eligible for the Baseball Hall of Fame who pitched an immaculate inning, 13 have been elected and five were elected on the first ballot.Players are eligible for the Hall of Fame if they have played in at least 10 major league seasons and have either been retired for five seasons or deceased for at least six months.These requirements leave 26 players ineligible who are active, four who are living and have played in the past five seasons, and eight who did not play in 10 major league seasons.