Everyone has different strengths, weaknesses, talent, skills, etc so your chances of succeeding rely mostly on you. However, determination, networking, etc also will play a big role. I also personally think that most people who have dreams give up too quickly. And then there's also location. I'm fortunate that I live in a place where jobs are readily available because the sad truth is, it usually takes money to make money.
Next, if you're wanting to get into animation, check out websites such as pixar, dreamworks, etc. They'll give you some good information about what they look for. Surprisingly, they really don't care much about whether you can use Maya or 3dsMax. If you can animate, they can teach you the software. So, my advice (though not professionally) is to figure out EXACTLY what you want to do. Then research on how to prepare for that. An animator will have different goals to achieve than a modeler or a lighting technician. A texturing person will have yet different goals. Deciding exactly what you want to do will help you figure out what skills you need and what areas of study to focus on.
Best wishes to you!
Eric
P.S. If there's are some specific companies you'd like to work for, you could always find out what software and tools they use and learn them.
Don't be satisfied with what you can do but rather strive to do the things you can't do!
Exceed Expectations!