https://blossom-espelhator.girino.org/414326fa63f9a07593e9db5148a5a0aaada4d90c5451c42c02c3a53b47930211.mp4
How Dice Actually Predict Pi Perfectly!
Can you really find the value of Pi just by rolling dice? This video demonstrates a fascinating mathematical relationship between the Normal Distribution and Pi. By summing multiple dice rolls and applying the Central Limit Theorem, we can approximate a standard normal distribution. Using the expected value formula for the absolute value of X, we derive a unique method to estimate Pi. Watch as we simulate over 3,000 trials to see the live estimate converge toward the true value of 3.1416. This is a perfect example of how randomness leads to mathematical constants.
#math #pi #probability #statistics #manim
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