The conclusion strikes me as overly confident, though. It implies that if we had 100 Han Solo's, we are very confident that about 3/4 of them are going to make it through. This comes about because it uses this:
We're going to say that C3PO has records of two people surviving and 7,440 people ending their trip through the asteroid field in a glorious explosion.
as data for Han's odds of making it. But 100 out-of-shape people dying on the ascent of Mount Everest does not tell us anything about the odds for someone who is very fit.
I would rather model that there is no one true probability of making it through - it's going to be dependent on the pilot. Mediocre pilots might have odds in the neighborhoud of 1/3720, but there is presumably a lot of variance depending on skill, and my prior belief is that Han would wind up in the upper end of the distribution.