Part One: Probability

Probability and Sample Size Requirements

Minimal Sample Size as a Function of Probability

Suppose that we have an Event, E, with probability P_E. Then the quantity (1/ P_E) represents the sample size with an expected count for E of 1. That is,

e_E ≈ 1 for n ≈ (1/ P_E).

Fixed Sample Size and Minimum Detectable Probability

For fixed sample size n, the quantity (1/n) represents the probability value for any event with a perfect count of 1. That is, if P_E = (1/n) for some event E, then the expected count for event E in samples of size n is 1. That is,

P_E = (1/n)

e_E = n*(1/n) = 1 for sample size n.