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Mathematics

The Binomial Distribution and Its Shape as n Grows

Quick fact

Even for a fair coin (p=0.5), the binomial distribution is perfectly symmetric only when p=0.5, but as n grows, it becomes approximately symmetric regardless of p, thanks to the Central Limit Theorem.

Why this is interesting

Flip a coin 10 times and count the heads—repeat this many times. Why does the shape of your results start to look like a bell curve as you increase the number of flips?