Surprise
$$
\begin{align*}
Surprise &= \frac{1}{P(x)} \\&= log_2 \frac{1}{P(x)} \\&= log_2 1 - log_2 P(x) \\&= -log_2 P(x)
\end{align*}
$$
[!def] Surprise = ?
$$
Surprise = log_2 \frac{1}{P(x)} = -log_2 P(x)
$$
$$
\begin{align*}
Surprise &= \frac{1}{P(x)} \\&= log_2 \frac{1}{P(x)} \\&= log_2 1 - log_2 P(x) \\&= -log_2 P(x)
\end{align*}
$$
[!def] Surprise = ?
$$
Surprise = log_2 \frac{1}{P(x)} = -log_2 P(x)
$$