Tuesday 12 January 2016

Three boxes with marbles

This is one of the puzzles included by Martin Gardner in a book containing various puzzles.-
Imagine that you have 3 boxes one containing 2 black marbles,one containing 2 white marbles,the 3rd containing one black and one white marble -labelled BB,WW, and BW respectively.Someone switched the labels so that every box is incorrectly labelled.You are allowed to take one marble at a time out of any box without looking inside and by this process of sampling you are to determine the contents of all 3 boxes.What is the smallest number of drawings needed to do this? 

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