Some probabilities on the sum of counting numbers
Date of Publication
1992
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis presents some problems of chance on the sum of counting numbers. It gives the probability that the sum is a perfect square, odd, even, equal to n or equal to n - 1. These probabilities were proven by means of mathematical induction.This study also gives the probability that the sum is relatively prime to n, using the Euler phi-function. The theoretical discussion is based on the article by Robert W. Prielipp entitled The Euler -Function and a Problem of Chance. A table of sums of integers from 1 to n when n = 2 to n = 12 is given. Illustrations and examples are provided. The proofs of lemmas, theorems and corollaries in the preliminary framework and the main body are presented in a very detailed manner.
Abstract Format
html
Language
English
Format
Accession Number
TU05856
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
58 leaves
Keywords
Probabilities; Numbers, Theory of; Congruences and residues
Recommended Citation
Cabugao, A., & Marzan, L. (1992). Some probabilities on the sum of counting numbers. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16020
