Let p be a prime number larger than 2. Suppose we uniformly sample for two times with replacement from {0,.., p-1}. Then multiply these two numbers with each other in (mod p) space. What is the probability of getting (p-1)/2?
Let p be a prime number larger than 2. Suppose we uniformly sample for two times with replacement from {0,.., p-1}. Then multiply these two numbers with each other in (mod p) space. What is the probability of getting (p-1)/2?
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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![Let p be a prime number larger than 2. Suppose
we uniformly sample for two times with
replacement from {0,..., p-1}. Then multiply
these two numbers with each other in (mod p)
space. What is the probability of getting (p-1)/2?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffafa7ad-5c0a-41f9-b550-d1e2021fb7de%2F8949aeee-fa8e-4014-9d93-9c57897bf9ee%2Fujouxq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let p be a prime number larger than 2. Suppose
we uniformly sample for two times with
replacement from {0,..., p-1}. Then multiply
these two numbers with each other in (mod p)
space. What is the probability of getting (p-1)/2?
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