2026-03-07T11:52:11Z https://it-hiroshima.repo.nii.ac.jp/oai

oai:it-hiroshima.repo.nii.ac.jp:00001086 2023-07-25T10:33:51Z 1:18:388

The Number of Consecutive Heads in a Run Hirose, Hideo ヒロセ, ヒデオ 廣瀬, 英雄 coin tossing run consecutive heads solitary head coin dual problem application/pdf How many consecutive heads do we observe in a run of coin tossing of length n? Although the problem seems to be easy to answer, this would be actually a little bit tough when we try to prove it straightforwardly. The expected number of consecutive heads in a run is 3n-2/8 (n≧2) using the recursive formula.|However, if we define a solitary head coin such that a head coin is isolated by neighboring tail coin(s) in a run, the problem of how many solitary heads we observe in a run can be solved easily. The expected number of solitary heads in a run is n+2/8 (n≧2). Since the problem of solitary head coin becomes a dual problem of the above, the consequence of the problem of the consecutive heads is derived easily by considering the probability of a solitary coin appearance. departmental bulletin paper 広島工業大学 2019-02 VoR application/pdf 広島工業大学紀要. 研究編 53 177 179 AA11599110 13469975 https://it-hiroshima.repo.nii.ac.jp/record/1086/files/research53_177-179.pdf https://it-hiroshima.repo.nii.ac.jp/records/1086 eng publisher