Competing Patterns in Bernoulli Sequence of Trials

نویسندگان

چکیده

Consider performing a sequence of Bernoulli trials (each resulting in either success, denoted S, or failure F, with probability p and q := 1 - respectively) until one m specific strings (or patterns) consecutive outcomes is generated. This can be seen as game where players select such pattern each the whose occurs first wins. We present symbolic formulas for probabilities winning, mean number corresponding standard deviation to complete this game. Several numerical examples are presented, including search optimal strategy.

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ژورنال

عنوان ژورنال: Applied mathematics

سال: 2023

ISSN: ['2152-7393', '2152-7385']

DOI: https://doi.org/10.4236/am.2023.145019