Fake coins again, but now the scale is broken, too
Source: Germany 2014 - Problem 5
December 4, 2022
combinatoricsweightscoins
Problem Statement
There are visually indistinguishable coins, and one of them is fake and thus lighter. We are given indistinguishable balance scales to find the fake coin; however, one of the scales is defective and shows a random result each time. Show that the fake coin can still be found with weighings.