Suppose someone gives you 5 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $5 if you succeed and...

Suppose someone gives you 5 to 1  odds that you cannot roll two even numbers with the roll of two fair dice. This means you win ​$5  if you succeed and you lose ​$1 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 00 ​times? Explain.​ (The table will be helpful in finding the required​ probabilities.)

1. What is the expected value of this game to you?

2. Should you expect to win (or lose) an amount equal to the expected value in the first game?

___     Yes, you can expect to win (or lose) the expected value in the first game.

___     No, the outcome of one game cannot be predicted.

3. What can you expected if you play 100 times?   $____________

Explain this results

4. Average over 100 games, you should expect to win is $______