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You pay $2 to toss 2 coins. If you toss 2 tails you get $4 (including your $2); if you toss only 1 tail, you

  1. You pay $2 to toss 2 coins. If you toss 2 tails you get $4 (including your $2); if you toss only 1 tail, you get back $1; and if you toss no tails, you lose your $2.
  2. What is the expected value of this game?
  3. Is this a fair game? Explain.

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