The Million Dollar Suitcase
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?
Can this be done? If so, how? If not, why not?
The Counterfeit Coin
You are presented with nine gold coins, they appear identical, but you know one of them is not gold, and weighs less than any of the remaining eight coins. You also have at your disposal a balance scale. You are allowed to use the balance scale for two measurements and must correctly identify the counterfeit coin.
- A measurement constitutes placement on the scale and observation of balance or lack of balance.
- Your solution must account for all possible results of your first measurement.