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According to Benford's law the probability that the leading digit of a measure is x is approximately

log10(1 + 1/x)

The law appears in nature: lengths of rivers, heights of mountain peaks and so on. This suggests that small events are much more likely than larger ones.

For more on Benford's law, see the link.

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Q: Is There no relationship between the number of occurrences of a particular type of event and the size of such events?
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