This visualization, titled "The Probability of Coin Toss" was submitted by Bao ("Tintin") Nguyen to the University of Arizona Libraries 2021 Data Visualization Challenge. It received the first place win within the undergraduate classification.
The Law of Large Numbers and the Central Limit Theorem are two of the most fundamental and elegant theorems in Probability Theory. However, these concepts are impractical to demonstrate because they require an immense number of trials to observe the long-term behaviors of random variables. Therefore, this case study runs computer simulations on coin tossing as an intuitive example to explain these statistical concepts. The visualizations provide insights into the theorems without mathematically rigorous proofs, making them accessible for introductory statistics learners.
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