We hash items into a 10-slot hash table using a hash function h that uniformly assigns elements to {1,2, ..., 10}. Compute the probability of the following events if we hash 3 elements into the 10-slot table. (a) no collisions occur (b) all 3 elements have the same has value

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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We hash items into a 10-slot hash table using a hash function h that uniformly assigns
elements to {1,2, ..., 10}. Compute the probability of the following events if we hash
3 elements into the 10-slot table.
(a) no collisions occur
(b) all 3 elements have the same has value
Transcribed Image Text:We hash items into a 10-slot hash table using a hash function h that uniformly assigns elements to {1,2, ..., 10}. Compute the probability of the following events if we hash 3 elements into the 10-slot table. (a) no collisions occur (b) all 3 elements have the same has value
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