A plate has 15 cakes on it, of which 9 are chocolate and 6 are strawberry. A

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A plate has 15 cakes on it, of which 9 are chocolate and 6 are strawberry. A child randomly selects 5 of the cakes and eats them. What is the probability that the number of chocolate cakes remaining on the plate is between 5 and 7 inclusive?
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