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Use Probability To Determine Whether Games And Strategies Are Fair Or Unfair

In a game, you can either flip a fair coin and win $40 if it lands heads or lose $30 if it lands tails. Alternatively, you can roll a fair six-sided die and win $25 if it lands on 4 but lose $20 if it lands on any other number. Is this game fair or unfair?

You are playing a game where you roll two fair six-sided dice. If the sum is 7, you win $20, and if not, you lose $10. Is this game fair or unfair?

In a card game, you draw a card from a well-shuffled standard deck. If it is a red card, you win $30; otherwise, you lose $10. Is this game fair or unfair?

In a game, you flip a fair coin, and if it lands heads, you win $25, but if it lands tails, you lose $20. Is this game fair or unfair?

You are playing a game where you draw two cards from a well-shuffled standard deck without replacement. If both cards are face cards, you win $40, but if not, you lose $15. Is this game fair or unfair?

You are flipping a biased coin, and the probability of getting heads is 0.3. If you win $20 for heads and lose $15 for tails, is this game fair or unfair?

You are playing a game where you draw a card from a standard deck without replacement. If it is a spade, you win $20, but if not, you lose $15. Is this game fair or unfair?

In a game, you roll a biased six-sided die with a 0.4 probability of landing on 6. If it lands on 6, you win $30, and if not, you lose $25. Is this game fair or unfair?

In a game, you draw three cards from a standard deck without replacement. If all three cards are spades, you win $50; otherwise, you lose $25. Is this game fair or unfair?

You are playing a game where you can either roll a fair six-sided die and win $15 if it lands on an odd number or lose $10 if it lands on an even number. Is this game fair or unfair?