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A hash table is a data structure that supports the storage of subset of keys from...

A hash table is a data structure that supports the storage of subset of keys from a very large set S. To add a key x to a hash table, we use the hash function h: we compute h(x) and store x at location h(x). If two values x and y hash to the same location, we say we have a collision. For the hash table to work efficiently, we want to minimize the probability of collisions. The hash function is uniform in the sense that each key is equally likely to be hashed to any location in the table. Suppose we want to store 20 distinct keys into a hash table of size 100. What is the probability that there is no collision?

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