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Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with...

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 win ​$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 100 ​times? Explain.​

What is the expected value of this game to​ you?

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.

What can you expect if you play 100 times?

Averaged over 100 ​games, you should expect to win lose

math   Statistics-And-Probability   
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