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The title seems to assume that Bayesian statisticians do not know Monte Carlo methods. But in fact, Monte Carlo methods are part of Bayesian statistics. They are in any decent Bayesian stats textbooks.

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Yes. To give people from other disciplines a flavour:

- Why Engineering needs PDE solvers.

- Why Computer Science needs compilers.

- Why Geography needs digital maps.

"Needs" may not imply "currently does not use enough". "Why the human body needs water" could be a popsci article.

It kind of does though? I.e. I’d expect that article to be about why you need to keep adding water to the human body (by drinking water), whereas an article about “why the human body is mostly water” would explain why it is composed of water rather than why it needs more water.

Good title tells something about the article, usually in very compressed way.

"Uses" or "includes" instead of "needs" would be a more effective way to convey the needed information

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