Your friend pulls out a perfectly circular table and a sack of quarters, and proposes a game.
"We'll take turns putting a quarter on the table," he says. "Each quarter must lay flat on the table, and cannot sit on top of any other quarters. The last person to successfully put a quarter on the table wins."
He gives you the choice to go first or second. What should you do, and what should your strategy be to win?
You should go first, and put a quarter at the exact center of the table.
Then, each time your opponent places a quarter down, you should place your next quarter in the symmetric position on the opposite side of the table.
This will ensure that you always have a place to set down our quarter, and eventually your oppponent will run out of space.
When Manish was three years old he carved a nail into his favorite tree to mark his height. Six years later at age nine, Manish returned to see how much higher the nail was. If the tree grew by five centimeters each year, how much higher would the nail be.
The nail would be at the same height since trees grow at their tops.
There was once a college that offered a class on probability applied to the real world.
The class was relatively easy, but there was a catch.
There were no homework assignments or tests, but there was a final exam that would have only one question on it.
When everyone received the test it was a blank sheet of paper with a solitary question on it: "What is risk?"
Most students were able to pass, but only one student received 100% for the class!
Even stranger was that he only wrote down one word!
What did he write?
