A thoughtful piece, well worth a reblog. Especially for the quote from Swift:
“Reasoning will never make a man correct an ill opinion, which by reasoning he never acquired.”
Among my New Year’s Eve companions was a bow-tied academic sociologist specialising in game theory.
The fun we had.
He told me about his use of the Monty Hall problem with his students. You probably know it but (from wikipedia):
Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?
The answer, for those who don’t know the problem, is that by switching you double your chances of winning the car. And you can prove it mathematically.
When Marilyn vos Savant, who originally publicised the problem, gave that answer he was beseiged…
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