Exact lower bound on an "exactly one" probability

2021/02/09 by Iosif Pinelis, Pinelis, Iosif
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.2102.05170

6 pages; to appear in the Bulletin of the Australian Mathematical Society

arxiv created 2021/02/09 · arxiv updated 2021/02/11

Abstract

The exact lower bound on the probability of the occurrence of exactly one of n random events each of probability p is obtained.

Related

• On upper and lower bounds for probabilities of combinations of events
• Improved Bounds on the Probability of a Union and on the Number of Events that Occur
• Lower Bounds on the Probability of a Finite Union of Events
• Sharp Bounds on Probabilities Using Linear Programming
• Probability bounds for n random events under (n-1)-wise independence