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There are three different exits in Edith's work building, each with a security officer sitting at a reception desk. Each reception desk has a bowl

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There are three different exits in Edith's work building, each with a security officer sitting at a reception desk. Each reception desk has a bowl that always contains exactly 8 chocolates, where each chocolate is either caramel or mint. In the bowl at the reception desk at the first exit 2 of the 8 chocolates are caramel, in the bowl at the reception desk at the second exit 6 of the 8 chocolates are caramel and in the bowl at the reception desk at the third exit 7 of the 8 chocolates are caramel. Whenever Edith leaves to go home, 59% of the time she leaves the building through the first exit, 22% of the time she leaves through the second exit and the rest of the time she leaves through the third exit. As she leaves, she always randomly chooses one chocolate from the bowl. Today Edith had a mint chocolate. What is the probability that she left through the second exit? Give your answer as a probability between 0 and 1

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