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What about the Portuguese colonial wars, with Holden Roberto and the CIA backed FNLA and UPA?
I could take a standard die and tell you, or even someone who had never seen a die before, that of its six faces, one, two, three, four, or five dots are always face up after a roll. In such a case, it's not clear that's better than not knowing anything - it would depend on exactly what you were doing with the information. The correct rule (when we only care about whether or not a six is rolled) is "one, two, three, four, or five dots are face up after a roll 5/6 of the time, and 1/6 of the time the six dots are face up."
That's pretty well-explained by the anti-communist rule of thumb.