# solved: Phil is deciding which lottery scratch-off ticket to purchase….

Phil is deciding which lottery scratch-off ticket to purchase….Phil is deciding which lottery scratch-off ticket to purchase. Below are his options.Lucky Ducky tickets cost \$1 and offer this: Match three numbers in the correct order (using the numbers between 1 and 20) and win \$500. Match 2 numbers and win \$100. Match 1 number and win \$20. Mega Bux tickets cost \$5 and offer this: Match five numbers in the correct order (using the numbers between 1 and 100) and win \$5000. Match 4 numbers and win \$2000. Match 3 numbers and win \$1000. Match 2 numbers and win \$100. Match 1 number and win \$50.Part A: Find the expected value for buying a Lucky Ducky ticket. Show all work.Part B: Find the expected value for buying a Mega Bux ticket. Show all work.Part C: Find the expected payoff for each game. Which ticket should Phil purchase? Explain.   MathStatistics and Probability MATH 22

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