Did the Giants beat the Bengals with "sheer luck"? They had to go to over time, because Chris Perry ran the ball enough on them to move the chains and put Plamer in a situation where he didn't have to throw it on every down, and he had some shorter third downs. Plus, T.J. Houshmendzadeh torched their secondary. He lit them up. His numbers were huge. If Palmer doesn't mismanage the game or the clock at the end of the game, the Giants would have lost.
This isn't college. It is the NFL. The other teams pay their player, too. They play to win, too.