Gold Coin

Two men find an old gold coin and want to have a coin toss with it to decide who gets to keep it. The only problem is the coin is heavier on one side so it comes up heads more than tails.

What is a fair way for the men to toss the coin and decide who gets to keep it?

View Answer
They toss the coin twice.  Each man picks heads or tails on the first coin toss and on the second coin toss they switch.  So if you picked heads on the first coin toss you would have tails for the second coin toss.  In this way no one has an advantage over the other.

Honest Politicians

There is a room full of 100 politicians. Each one is either honest or a liar. You know to facts about these politicians:

1. At least one of them is honest.
2. If you pick any two politicians, at least one of them is a liar.

From this information, can you determine how many politicians are honest and how many are liars?

View Answer
One politician is honest and 99 are liars.  We know from the facts at least one politician is honest.  If more than one were honest you could potentially pick two politicians that would both be honest.  However, fact number two tells us that at least one of the politicians would have to be a liar.
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