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Do the real-life situations need to actually be part of reality?  I'm thinking about using counterintuitive concepts such as the Monty Hall problem or the Banach-Tarski paradox.  Would these be OK as real-life situations, or are they too abstract?

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Both Monty Hall Problem and Banach-Tarski paradox are real-life situations. Depending on what RQ one is working with, there may be more and better examples that both illustrate the point and are accessible to ToK examiners. 

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