Pure mathematics does not study applied problems. It just studies the relationship between numbers and space. The most extreme example is like Goldbach conjecture. For more than 200 years, many top mathematicians all over the world have devoted their lives to studying it. It has not been completely solved so far. But this is a completely useless topic. Even if it is solved, no one knows what the use is. This is done by pure mathematicians:) Of course, there are many pure mathematical propositions that were not known at that time. But it was later used by applied mathematicians in other disciplines. But this is not the original intention of pure mathematicians.

As far as their employment prospects are concerned, of course, the application of mathematics is much wider. Especially the rise of the computer industry now. A large number of applied mathematics talents are needed. Companies such as Microsoft, Google and IBM employ a large number of applied mathematics talents every year. At present, pure mathematics seems to be only a professor or researcher in a university. Of course, it is not difficult for people who study pure mathematics to change their application.

As for how to choose between the two. I think it mainly depends on your personality. If you are a realistic person. It is more appropriate to study applied mathematics. If you are an idealist, you think you have a talent for mathematics. Of course, it is appropriate to study pure mathematics.