The Matadors had a 16-point lead with 5:27 remaining, but the Bobcats pulled within six, 66-60, with 19 seconds to play. The Matadors answered when Hicks made four free throws and Tre Hale-Edmerson scored to make it 72-63 with six seconds left.
Marcus Colbert hit two free throws for the Bobcats with four seconds remaining to cap the scoring.
Holm had 20 points and was 5 of 12 from beyond the arc. Colbert scored 15 points and Michael Dison 11 for Montana State (0-3), which shot just 22 of 64 for 34 percent from the floor.