Odds of Getting In
Pretty good. That's the advantage of going after a largely segmented career—that is, the Average Joe has less than no desire to do it. It isn't glamorous. It's "quiet wealth" and income certainty (like, what are the odds that people won't have to pay taxes any more?). To find the gig interesting, you have to be "born numeric," i.e possess a kind of controlling—maybe even anal—personality which needs everything neatly parallel and in order so that you can sleep deep.
And it's a growing field—accounting laws are getting more complex and more international as the economies of the world begin to interlink, and governments change attitudes about tax and wealth. The world will need solid, skilled, disciplined account professionals for more or less forever. Which means that, if you get your degree and go through the appropriate steps, you have an excellent chance of being a CPA and finding the financial freedom that most people only dream about.