John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and ve
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John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks a bird uniformly at random from the left pond and moves it to the right pond. Then, Annie picks a bird uniformly at random from the right pond.
What is the probability that Annie picks a duck?
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