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Count data are non-negative integers representing whole amounts.
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Accepted
How to calculate the error on the ratio of a counting experiment?
One possible approach is via Laplace's Rule of Succession.
For $m$ successes and $n-m$ failures, the probability for success for the next trial is $$p=\frac{m+1}{n+2}.$$
This means for $m=10$ and $n=1 …