Falkirk striker Lyle Taylor scored the only goal of the game before seeing red as his side ran out winners against Airdrie.
Neither team ever really got going in what was a very scrappy first half with very few meaningful chances to speak of.
The visitors improved dramatically in the second half and broke the deadlock in the 58th minute when Taylor struck the ball into the top corner of Robbie Thomson's goal from the middle of the penalty area.
Taylor was then dismissed for picking up a second yellow card.
The league's basement club pushed for an equaliser against the 10 men but were unable to trouble goalkeeper Michael McGovern.
Airdrie Utd: Robbie Thomson, O'Neil, Lamie, Buchanan, Evans, Bain (Liam Watt 83), Lynch, Hetherington, McLaren (Donnelly 71), John Boyle (Moore 82), Coogans. Subs Not Used: Arthur, Drummond.
Booked: John Boyle, Lamie.
Falkirk: McGovern, Duffie, Dods, Flynn, Kingsley, Murdoch, McGrandles, Grant (Higgins 77), Jay Fulton (Sibbald 88), Alston (Weatherston 46), Taylor. Subs Not Used: Bowman, Vaulks.
Sent Off: Taylor (67). Booked: Taylor.
Goals: Taylor 58.
Ref: Matt Northcroft