If you have passion for what you do, and you are determined to be the best at it, and do whatever it takes, it doesn’t matter what your degree is, you will be successful. But most people aren’t willing to do that, they try to coast, and think the degree alone will make them successful.
A good insight. That was me. I went to school for engineering (smart, right?), a subject I had no interest in. When I graduated from college, I decided to go into illustration (my God-given talent and love) instead. Today, I make a good living, and I'm happy. It was a hard road, but worth it. I would do it all over again.