opengl

please can someone help. i used to own quake iii arena which required opengl i managed to somehow get it running.
recently i bought a new game alice which required opengl but all i got was could not detect or load opengl subsystem in a console
and the game would not run. i thought the game was faulty so i got a refund but even now when i try to start other opengl games i can not get any to play. and yes updated all drivers for my graphic card can anyone please tell me the problem