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EI &= \frac{1}{N}\sum^N_{i=1}\sum^N_{j=1}p_{ij}\log\frac{N\cdot p_{ij}}{\sum_{k=1}^N p_{kj}} \\
EI &= \frac{1}{N}\sum^N_{i=1}\sum^N_{j=1}p_{ij}\log\frac{N\cdot p_{ij}}{\sum_{k=1}^N p_{kj}} \\
&= \frac{1}{4}(\log\frac{4}{3} + \log\frac{4}{3} + \log\frac{4}{3} + log(4)) \\
&= \frac{1}{4}(\log\frac{4}{3} + \log\frac{4}{3} + \log\frac{4}{3} + log(4)) \\
&= 0.81
&\approx 0.81
\end{aligned}
\end{aligned}
</math>
</math>