3. You set up a carnival booth at a local fundraising event. The game consists of rolling a giant 6- sided die. The die is fair, so each of the number 1, 2, 3, 4, 5, and 6 has an equal probability of coming up. Game participants pay $3 per roll. If a participant rolls a 6, they win a prize valuing $8. If a participant rolls a 1, they win a prize valuing $2.50. If they roll a 2, 3, 4, or 5, they win nothing. An average of 40 participants play the game each hour, and you run the carnival booth for 8 hours. Fill in the probability distribution table and then answer the questions. What are the expected earnings (expected value) per game participant? Roll 6 1 2, 3, 4, or 5 Earnings Probability How much money do you expect to earn overall?

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