Some probabilities on the sum of counting numbers
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 re...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1992
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16020 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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