That said, the Monty Hall problem is a heavily simplified example of the types of problems anyone faces when making decisions under uncertainty. Analogous problems arise in poker, trading, corporate finance, and any other situation where you have to make decisions and then revise them as more information comes in.
Of course, the actual Monty Hall game is trivial -- anyone who knows about conditional probability can figure out the correct answer by doing a straightforward calculation. The point is that a particular "solution" you might try in order to simply the
problem doesn't actually work. So essentially "knowledge of the Monty Hall Problem" is the knowledge that your naive intuition about conditional probability is wrong and you have to actually do the calculations. Anyone who doesn't understand this won't be able to make any reasonable quantitatively-informed decisions.