Find probability that all three keys hash to different slots

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Question: If we hash 3 keys into a hash table with ten slots, what is the probability that all three keys hash to different slots? How big does n have to be so that if we hash n keys to a hash table with 10 slots, the probability is at least a half that some slot has at least two keys hash to it? How many keys do we need to have probability at least two thirds that some slot has at least two keys hash to it?

Reference no: EM131578471

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