Biology Faculty Articles

Title

A Solution to the Generalized Birthday Problem with Application to Allozyme Screening for Cell Culture Contamination

Document Type

Article

Publication Date

6-1979

Publication Title

Journal of Applied Probability

Keywords

Generalized birthday problem, Occupancy, Recursive solution, Probability approximations

ISSN

0021-9002

Volume

16

Issue/No.

2

First Page

242

Last Page

251

Abstract

This paper gives the probability that no common allozyme signature is found among n randomly selected cell culture lines when the s mutually exclusive and exhaustive signatures have arbitrary known probabilities. This result is useful in detecting cell culture contamination by a single cell line. This problem is a generalization of the classic problem of finding the probability of no common birthday among n individuals when it is assumed that each individual has a chance 1/s = 1/365 of a birthday on a given day. Both an exact recursive solution and an approximate solution are given for the general problem.

Comments

©1979 Applied Probability Trust

ORCID ID

0000-0001-7353-8301

ResearcherID

N-1726-2015

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