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Your friend rolls two fair six-sided dice. You only get a quick look before your friend covers up the dice. From your quick look, you

Your friend rolls two fair six-sided dice. You only get a quick look before your friend covers up the dice. From your quick look, you were able to see that the sum of the two dice was AT LEAST 11. Conditional on this information, what is the probability that EXACTLY ONE of your friend's dice was a 5?

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