Rimmer’s shots salvaged the Braves (7-16, 4-7 Southwestern Athletic Conference) nearly giving away a 55-51 lead with 1 1/2 minutes left, as Quincy Roberts tied it at 55-all for the Tigers on a layup with 38 seconds remaining.
But Rimmer did his job, and Roberts couldn’t win it for Grambling State as his jumper at the buzzer wouldn’t fall.
The Braves overcame a six-point halftime deficit in the win, outscoring Grambling State 31-23 in the second half.
Twann Oakley scored 17 points to lead Alcorn State, which has now won back-to-back games for the first time this season. The Braves avenged a Jan. 9 loss to the Tigers.
Brandon Dorsett paced the Tigers (3-18, 3-8) with 16 points.