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...
icon
Related questions
Question

Mm4

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?
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON