Plumb turned pro with the Kansas City Red Wings in 1977-78 and also got into 7 games with Detroit. The next season he played mostly in the minors but also got into another 7 Red Wings games. He then played another two seasons for the Kalamzoo Wings.
In 1981 Plumb went to Switzerland and played there for seven seasons, retiring in 1988.
He played in a total of 14 NHL games, scoring 3 goals and 2 assists.