_+ - \mathbb{E}[K_+]| &gt; \epsilon \vee |K_- - \mathbb{E}[K_-]| &gt; \epsilon) &amp; \leqslant &amp; \mathbb{P}(|K_+ - \mathbb{E}[K_+]| &gt; \epsilon) + \mathbb{P}(|K_- - \mathbb{E}[K_-]| &gt; \epsilon) \\
&amp; \leqslant &amp; 4 \exp\left(-\frac{2\epsilon^2}{N}\right),
\end{eqnarray*}\]</span> which implies that the complementary event (the ‚Äúgood‚Äù event) satisfies <span class="math display">\[\begin{equation*}
\mathbb{P}(|K_+ - \mathbb{E}[K_+]| \leqslant \epsilon \wedge |K_- - \mathbb{E}[K_-]|