Entropy H = -Σ p(x) log₂ p(x) measures average surprise in bits

How do we measure uncertainty in everyday decisions?

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Entropy H = -Σ p(x) log₂ p(x) measures average surprise in bits

How do we measure uncertainty in everyday decisions?

Imagine you're flipping a coin, unsure if it lands heads or tails. You want to predict the outcome but don't know the probability.

Entropy helps us understand the unpredictability of outcomes like coin flips. It quantifies the average surprise or information needed to know the result.

Example

Flipping a fair coin 100 times, you expect about 50 heads and 50 tails. Entropy tells us the average surprise in predicting each flip's outcome.

Remember this

Entropy measures the average surprise or uncertainty in outcomes, helping us predict and understand random events.

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