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Mathematics
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PicnicTech markets three versions of its Picnic Egg Boxes: the Golden Deluxe, containing 3 gold eggs and one plain egg; the Regular, containing 2 gold and 2 plain; and the EconoLunch, containing just one gold egg and 3 plain ones. The corner store has 3 Golden Deluxes on sale, 2 Regulars, and 5 EconoLunches. This is all shown in the tree diagram below. If you buy an EconoLunch, and remove one egg at random, what is the probability that the egg is gold?
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