Editing Binomial theorem (section)

=== Probability ===
The binomial theorem is closely related to the probability mass function of the [[negative binomial distribution]]. The probability of a (countable) collection of independent Bernoulli trials <math>\{X_t\}_{t\in S}</math> with probability of success <math>p\in [0,1]</math> all not happening is
:<math> P\biggl(\bigcap_{t\in S} X_t^C\biggr) = (1-p)^{|S|} = \sum_{n=0}^{|S|} {|S| \choose n} (-p)^n.</math>
An upper bound for this quantity is <math> e^{-p|S|}.</math><ref>{{Cite book |title=Elements of Information Theory |chapter=Data Compression |last1=Cover |first1=Thomas M. |author1-link=Thomas M. Cover |last2=Thomas |first2=Joy A. |author2-link=Joy A. Thomas |date=1991 |publisher=Wiley |isbn=9780471062592 |at=Ch. 5, {{pgs|78–124}} |doi=10.1002/0471200611.ch5}}<!-- a specific page number would be helpful. previously this citation noted p. 320 but that's not in this chapter. --> </ref>