On a coin-tossing problem and some related combinatorics
This paper is an exposition of the solution to the following problem: N players each tosses a fair coin. If a player tosses a head, he goes out of the game and does not toss again. The remaining players continue to toss until all go out. For any permutation o of the n players, find the probability t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1995
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16257 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| id |
oai:animorepository.dlsu.edu.ph:etd_bachelors-16770 |
|---|---|
| record_format |
eprints |
| spelling |
oai:animorepository.dlsu.edu.ph:etd_bachelors-167702022-02-04T10:42:20Z On a coin-tossing problem and some related combinatorics Lopez, Rethel Anne C. Sace, Meiko Pilar G. This paper is an exposition of the solution to the following problem: N players each tosses a fair coin. If a player tosses a head, he goes out of the game and does not toss again. The remaining players continue to toss until all go out. For any permutation o of the n players, find the probability that the players will go out in order o. The paper is based on the article A Coin Tossing Problem and Some Related Combinatorics by Roger H. Muritz and Robert C. Williams which appeared in the Ferbuary 16, 1988 issue of the Mathematics Magazine. The thesis provides a detailed discussion of the theorems as well as examples and illustrations. The theoretical concepts include the Principle of Inclusion and Exclusion and the theory of probability. 1995-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16257 Bachelor's Theses English Animo Repository Combinatorial analysis Game theory Permutations |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Combinatorial analysis Game theory Permutations |
| spellingShingle |
Combinatorial analysis Game theory Permutations Lopez, Rethel Anne C. Sace, Meiko Pilar G. On a coin-tossing problem and some related combinatorics |
| description |
This paper is an exposition of the solution to the following problem: N players each tosses a fair coin. If a player tosses a head, he goes out of the game and does not toss again. The remaining players continue to toss until all go out. For any permutation o of the n players, find the probability that the players will go out in order o. The paper is based on the article A Coin Tossing Problem and Some Related Combinatorics by Roger H. Muritz and Robert C. Williams which appeared in the Ferbuary 16, 1988 issue of the Mathematics Magazine. The thesis provides a detailed discussion of the theorems as well as examples and illustrations. The theoretical concepts include the Principle of Inclusion and Exclusion and the theory of probability. |
| format |
text |
| author |
Lopez, Rethel Anne C. Sace, Meiko Pilar G. |
| author_facet |
Lopez, Rethel Anne C. Sace, Meiko Pilar G. |
| author_sort |
Lopez, Rethel Anne C. |
| title |
On a coin-tossing problem and some related combinatorics |
| title_short |
On a coin-tossing problem and some related combinatorics |
| title_full |
On a coin-tossing problem and some related combinatorics |
| title_fullStr |
On a coin-tossing problem and some related combinatorics |
| title_full_unstemmed |
On a coin-tossing problem and some related combinatorics |
| title_sort |
on a coin-tossing problem and some related combinatorics |
| publisher |
Animo Repository |
| publishDate |
1995 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16257 |
| _version_ |
1772835070199988224 |