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...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1995
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16257 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | 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. |
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