A plate of hors doeuvres contains two types of filled puff pastry chicken and shrimp. The entire

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A plate of hors d’oeuvres contains two types of filled puff pastry chicken and shrimp. The entire platter contains 15 pastries— 8 chicken and 7 shrimp. From the outside the pastries appear identical, and they are randomly distributed on the tray. Choose 3 at random; what is the probability that all 3 have the same filling?

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