The N.C.Lottery released a new game in May 2019called the $500Loaded.Each scratch-off ticket costs $5and they printed10,452,265tickets.The table below shows the available prizes and the number of winning tickets for each prize.

Prize Value

$200000, $500, $100, $50, $20, $10, $5

Number of tickets

5; 14274; 1907; 49124; 280608; 841824; 841824

1) How many of the printed gametickets are losers?

2) The table is missing an important row.Use your answer from the previous question to help you add the missing information.

3) Determine how much money is being paid out for each type of prize by calculating the products. Please don't include the $ symbol in the product column.

Prize Value

$200000, $500, $100, $50, $20, $10, $5

Number of tickets

5; 14274; 1907; 49124; 280608; 841824; 841824

4) Sum up your products column.What is the total prize payout for the $500Loaded game?Do not include the $symbol in your answer.

5) For your birthday your friend gives you a card with a $500Loaded ticket in it.What is the expected value of this gift?Do not include a $in your answer.

6) The scratch off tickets for the $500Loaded game cost $5each.If you buy one,what is the expected gain or loss when you consider both the cost of the ticket and the expected value of the ticket? Do not include the $symbol.

If the expectation is a gain,your answer should be positive.

If the expectation is a loss,your answer should be negative.

7) What is the expected value of prize money if you compete in the Student Math League contest?

Write the expected winnings as dollars rounded to the nearest cent.

8) The Phi Theta Kappa honor society is holding a raffle to raise funds for a service project.They are selling raffle tickets for $5 each and the prizes are as follows:A Thanksgiving dinner for four valued at $120,four pumpkin pies from the culinary school valued at $25 each,and ten turkey sandwiches for the Monday after break,valued at $6 each.PTK ends up selling 122tickets total.

If someone gives you one of those 122tickets without your having to pay for it,what is the expected value of the ticket?

9) If you pay the $5price to buy one ticket for the PTK Thanksgiving fundraiser, what is the expected value (to you) of the transaction overall?

10) Assuming they paid full price for all the prizes,how much money will the PTK Thanksgiving raffleraise for the honor society's service project?