Wright State’s Tanner Holden added 25 points and Tim Finke pulled down a game-high 11 rebounds.
Tied at 43 at halftme, the Raiders (1-1) controlled much of the second half, leading by as many as eight points on several different occasions. Basile’s short jumper in the paint with 11:17 to play gave the Raiders a 69-61 lead.
The Thundering Herd (1-0) then used a quick 11-3 run to knot the game at 72 with 7:46 left. They took the lead for good (78-77) on Taevion Kinsey’s two free throws at the 4:46 mark.
Kinsey, who hit all 14 of his free-throw attempts, scored 22 points and Andrew Taylor added 15 points and 11 assissts for Marshall.
Wright State stays on the road, visiting Purdue on Tuesday night.
TUESDAY’S GAME
Wright State at Purdue, 7 p.m., BTN, 103.9