She may be the brightest witch of her generation, Hermione Granger has shown a tendency to shy away from violence, believing that intellect can solve problems just as easily. However, since her wand wouldn't go into the arena with her (fairly, anyway), she'd have just her smarts to save her.
Working best as one part of a three-person team, Hermione would be vulnerable to say the least. And while we have no doubts she'd do more research and preparation than her fellow Tributes, this is not the kind of darkness she has trained to defeat.
Odds of Survival: Low.