Title

Detecting a fake coin of a known type

Document Type

Book Chapter

Publication Title

Springer Proceedings in Mathematics and Statistics

Abstract

We are given c ≥ 2 coins which are otherwise identical, except that there may be exactly (or at most) one fake coin among them which is known to be slightly lighter than the other genuine coins. Using only a two-pan weighing balance, we weigh subsets of coins sequentially in order to identify the counterfeit coin (or declare that all coins are genuine) using the fewest weighings on average. We find a formula for the smallest expected number of weighings, and another formula which determines an optimal number of coins to place on each pan during the first (and hence during each successive) weighing.

First Page

163

Last Page

180

DOI

10.1007/978-981-13-1223-6_15

Publication Date

1-1-2018

This document is currently not available here.

Share

COinS