## Archive for **May 2011**

## Let’s play dice

Another probability game.

You have a die and I have a die. You keep rolling your die until you get two 1s in a row. I keep rolling mine until I get a 1 and a 2 in row. The first one to reach the goal wins a dollar.

Would you play against me?

Solution:

## One point to define them all

A real-valued function f is defined on a set X. There exists an x from X such that IF f(x) = 0 THEN f is a constant 0.

What can we say about f and X in terms of necessary conditions?

Answer: Any function and any set satisfies the above property! And the function doesnâ€™t have to be real-valued too. The statement was designed to confuse the reader.

In any set of cats C there exists a cat c such that IF c is black THEN all cats in C are black.