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Bertrand's Box Paradox

gold coin, gold box?

There are 3 boxes. One holds two gold coins, one holds two silver coins, and one holds one gold and one silver coin. You pick a box at random and take out one coin without looking inside. It is gold. What is the chance the other coin in that box is also gold?

Source: A classic puzzle, retold by INFINITE SUM and fact-checked against our curated notes

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