Advertisement

Miscellaneous Topics

  • Melvin Hausner

Abstract

Suppose that an experiment has probability space 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)
The cases 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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Melvin Hausner 1995

Authors and Affiliations

  • Melvin Hausner
    • 1
  1. 1.Washington Square and University CollegeNew York UniversityUSA

Personalised recommendations