Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you will $9 if you succeed and you lose $2 if you fail. What is the expected value of this game to you? Should you expect to win or lose the expected value in the first game? What can you expect if you play 200 times?
What is the expected value of this game to you?
Should you expect to win (or lose) the expected value in the first game?
What can you expect if you play 200 times?
Explain this result, Averaged over 200 games, you should expect to win or lose how much money?