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Fix missing ln in birthday problem approximation formula #3

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Fix missing ln in birthday problem approximation formula #3

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2 changes: 1 addition & 1 deletion 60C05-ApproximatingTheBirthdayProblem.tex
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Expand Up @@ -152,7 +152,7 @@
We also see that if we wish to have an outcome with probability $\varepsilon>0$ of no matches then we can estimate the sample size by:
\[\varepsilon=p(N,k)\approx e^{-k^2/2N};\qquad k\approx \sqrt{2N \ln \frac{1}{\varepsilon}}.\]
So the number of samples required to find a match with probability $\varepsilon>0$ is approximately
\[k=\sqrt{2N\frac{1}{1-\varepsilon}}.\]
\[k=\sqrt{2N \ln \frac{1}{1-\varepsilon}}.\]

\begin{thebibliography}{9}
\bibitem{Wikipedia}
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