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But you can be smart about this by hedging your bets and still achieving the same effect. A degree in basket weaving and a degree in Engineering will both serve to expand your abilities by teaching you critical-thinking skills, teaching you how to communicate more effectively, and, in short, providing you with a framework for "learning how to learn". But one will make it far easier to get a job than the other.

My rule of thumb has always been this: Write down all of the things that you're interested in and would enjoy spending four years or so learning about. Then, from that list, pick the ones that are also employable to some extent. At the same time, don't simply pick a degree solely because of employment prospects, since markets are cyclical, even in classical STEM fields.