## 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

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## Copyright information

© Melvin Hausner 1995