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A Sampling Process

Published online by Cambridge University Press:  03 November 2016

B. E. Oakley  and
R. L. Perry
B. E. Oakley
Affiliation:
Nuneaton Technical College
R. L. Perry
Affiliation:
Queen Elizabeth College
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Extract

A bag contains m > 0 black balls and n > 0 white balls. A sequence of balls from the bag is discarded in the following manner:

  • (i) A ball is chosen at random and discarded.

  • (ii) Another ball is chosen at random from the remainder. If its colour is different from the last it is replaced in the bag and the process repeated from the beginning (i.e. (i)). If the second ball is the same colour as the first it is discarded and we proceed from (ii). Thus the balls are sampled and discarded until a change in colour occurs, at which point the last ball is replaced and the process starts afresh.

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 367 , February 1965 , pp. 42 - 44
Copyright
Copyright © Mathematical Association 1965

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