## Abstract

Suppose that an experiment has probability space
The cases

*S*, and that*A*is an event of*S*with probability*p*=*p*(*A*). We let*P*_{ n }denote the probability that the event*A*will occur at least once if the experiment is repeated, independently, for n times. By Theorem 37 of Chapter 3, we have$$ {P_n} = 1 - {(1 - p)^n} $$

(4.1)

*p*= 0 and*p*= 1 naturally give*P*_{ n }= 0 and*P*_{ n }= 1, while the case*n*= 1 naturally gives*P*_{1}=*p*. We shall therefore usually assume that*n*> 1 and$$ 0 < p < 1 $$

(4.2)

## Keywords

Sample Point Random Walk Sample Space Infinite Series Uniform Space
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Melvin Hausner 1995