Editing Information content (section)

=== Fair die roll ===
Suppose we have a [[Fair dice|fair six-sided die]].  The value of a die roll is a [[Discrete uniform distribution|discrete uniform random variable]] <math>X \sim \mathrm{DU}[1, 6]</math> with [[probability mass function]] <math display="block">p_X(k) = \begin{cases}
\frac{1}{6}, & k \in \{1, 2, 3, 4, 5, 6\} \\
0, & \text{otherwise}
\end{cases}</math>The probability of rolling a 4 is <math display="inline">p_X(4) = \frac{1}{6}</math>, as for any other valid roll. The information content of rolling a 4 is thus<math display="block">\operatorname{I}_{X}(4) = -\log_2{p_X{(4)}} 
= -\log_2{\tfrac{1}{6}} 
\approx 2.585\; \text{Sh}</math>of information.