Miscellaneous Topics

  • Melvin Hausner


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
$$ {P_n} = 1 - {(1 - p)^n} $$
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
$$ 0 < p < 1 $$


Sample Point Random Walk Sample Space Infinite Series Uniform Space 
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Copyright information

© Melvin Hausner 1995

Authors and Affiliations

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

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