Probability and Statistics in Coin Tossing Experiments
DOI:
https://doi.org/10.54097/ymy0jt23Keywords:
Probability, Statistics, Bernoulli Trial, Law of Large Numbers.Abstract
This paper explores the fundamental principles of probability and statistics through the classic coin tossing experiment. By framing each toss as a Bernoulli Trial, we model sequences of flips using the Binomial Distribution to derive theoretical probabilities and Expected Value. The study then contrasts these predictions with Empirical Probability gathered from actual experiments, demonstrating the powerful convergence described by the Law of Large Numbers. Finally, the application of Hypothesis Testing to sample data is discussed, showcasing the statistical methodology used to validate assumptions about a coin's fairness against observed outcomes.
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References
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