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* the number of points in a bounded [[Borel set]] <math>\textstyle B</math> is a Poisson random variable with mean <math>\textstyle \Lambda(B)</math>. In other words, denote the total number of points located in <math>\textstyle B</math> by <math>\textstyle {N}(B)</math>, then the probability of random variable <math>\textstyle {N}(B)</math> being equal to <math>\textstyle n</math> is given by:
:: <math> \mathbb{P} \{ {N}(B)=n\}=\frac{(\Lambda(B))^
* the number of points in <math>\textstyle n</math> disjoint Borel sets forms <math>\textstyle n</math> independent random variables.
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