Greinke, 35, will be making his second postseason start for the Astros. The right-hander struggled in his first playoff start with the club, allowing six runs in 3 2/3 innings in Game 3 of Houston's ALDS series against the Tampa Bay Rays.
Hinch hopes Greinke's next outing will end differently than the Astros' 10-3 loss in Game 3 against the Rays.
"As far as margin for error, he's got the same margin for error that he's had for having a league-leading ERA the last few years, approaching 20 wins and Cy Youngs," Hinch told reporters Friday. "And his margin for error the last hundred starts that he's made has been the same.
"What I've learned over the last few years here is every pitcher has a smaller margin for error than you can possibly imagine against elite teams."
"Game 4, as you would imagine, will be [revealed] based on how the first three go," Hinch said. "Three exceptional starting pitchers, and happy to line them up that way."