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B pays A 1 dollar to play. Then 100 fair coins are tossed, and A pays B x dollars if more than 60 land heads and nothing otherwise. For what x is the game fair?

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A game pays $14 if two dice total 11 or 12 and nothing otherwise. What is its fair value?You and an opponent each flip three fair coins. If you both get the same number of heads the opponent pays you $1; otherwise you pay $2. Should you play?X is the sum of 100 rolls of a fair die and Y is the number of heads in 600 fair coin flips. What is P(X > Y)?

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