zmVault/timestamped/2026-01-30_16-29-00.md

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2026-01-30T16:29:00-05:00	2026-01-30 16:29:??

2026-01-30 16:29:??

#topic/math/statistics

Laplace's Rule of Succession (LRS)

[!info] Pierre-Simon Laplace

If some event occurred m times in n observations, the probability the event will occur in the next observation is given by:

\frac{1+m}{2+n}

Rule of Five

The probability that any given sample is above the median is 50%. The probability that the minimum and maximum values of n samples don't straddle the median is (\frac{1}{2})^{n}, equivalent to getting the same result on a flipped coin n times in a row.

There is a 93.75% chance that the median of a population is between the smallest and largest values in any random sample of five from that population.