Saying this with only an understanding of orbital mechanics learned from Kerbal Space Program, I'd say the chances are damn near 0%. Hitting the sun is actually pretty difficult and requires a precise amount of Δv (change in velocity). This thing had such a huge Δv that it would have left the solar system.
If it was pointed directly at the sun, it would miss. Not that this would make the odds any better, but aiming straight at the sun doesn't work either.