Given is a hash table with an initial size of 1000 and a hash function that ensures a hashing, where the keys are chosen randomly under the uniformity assumption. me are chosen. After how many insertions do you have to expect a collision probability of more than 80%? of more than 80%? To keep the number of collisions low during hashing, one can reduce the size of the has-hash table after a certain number of insertions. After which number n of inserted elements must the table be increased for the first time, if no collision occurred in the previous n - 1 elements and the probability of a collision in the n-th insertion should be less than 20%?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Hey,
Given is a hash table with an initial size of 1000 and a hash function that ensures a
hashing, where the keys are chosen randomly under the uniformity assumption.
me are chosen. After how many insertions do you have to expect a collision probability of more than 80%?
of more than 80%?
To keep the number of collisions low during hashing, one can reduce the size of the has-hash table after a certain number of insertions. After which number n of inserted elements must the table be increased for the first time, if no collision occurred in the previous n - 1 elements and the probability of a collision in the n-th insertion should be less than 20%?

 

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