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The Million Dollar Suitcase - A Puzzle

Sometime back, I encountered a puzzle posted by a member in a LinkedIn group. It was called a Million Dollar Suitcase . A scenario with a challenge was described and we had to find a solution. It went like this: Three suitcases are all labeled incorrectly, and you must get the labels right in order to find the million dollar suitcase (the one full of hundred dollar bills).  The labels on the suitcases read as follows: $100 Bills $1 Bills Both ($100 & $1 Bills) You are allowed one test. You may remove only one bill from a single suitcase, after which you must make your determination. You can’t peek into the suitcases. Can you find the million dollar suitcase? The Solution I read about it and devised a solution before checking it out on the site. My explanation was: Assuming all of the suitcases are definitely mislabeled - we can safely remove one (i.e. the $100 suitcase) from the game and consider only two suitcases: $1 and Both.  If we select the one ...