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Three sock drawers hold red and blue, blue and green, and green and red socks, and you do not know which is which. How many socks do you expect to pull out before you are sure?

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You have three sock drawers: one holds red and blue socks, one blue and green, one green and red. You do not know which is which. Assuming each drawer holds a large and equal number of each of its two colours, what is the expected number of socks you must pull out to be sure which drawer is which?

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