A fun puzzle for the forums: The probability of God Hello again Gnomon.
The sad fact is that playing this 'game' can also do real damage out in the real world.
Here in the UK we have a long history of young people who, deciding on a career in politics, head to Oxford* to read PPE (politics, philosophy and economics) with a view to 'making it' in politics, where they can make or influence national decisions. They choose PPE because that's how many earlier prime ministers and cabinet ministers got into politics.
Unfortunately, based on the evidence, reading PPE means in most cases that they have little connection with or understanding of the real world; cannot or dare not question 'experts' from other disciplines who present (for example) scientific or statistical evidence; and are not good at assessing candidates for jobs or promotion - for example they'll recruit other PPE graduates rather than risk having to deal with anyone competent in maths or sciences or engineering or business and such. Economists they can of course cope with, given that most economists are not good at maths.
They succeed in politics because they are, of course, good at arguing their case, so long as the case only involves politics, philosophy or economics, and no-one raises any real-world aspects.
*Oxford is a small industrial city in the south midlands of England, where some kind of academic institution is based. The French do it even better - they have a whole academic institution designed to keep prospective politicians and civil servants isolated from the real world.