Good afternoon teachers and tutors please help me done this, Any question will help!

On October 4, 2015 the format of how to play Powerball

changed. There used to be 59 white balls to choose from and 35 red balls to choose from. This

is how to play today: 5 white balls are drawn out of a drum with 69 balls numbered 1 to 69, and

one red ball is chosen out of a drum with 26 red balls numbered 1 to 26.

1. Why do you think this change occurred?

2. What do you think happened to the total number of possible combinations for playing

the winning numbers? Did it increase or decrease?

3. In fact, sales of lottery tickets had declined over the last few years which is why this

change happened. On Saturday, January 9, 2016, when the Powerball jackpot was over

$800 million, the pace of tickets being sold was $7,700 per second. What was the pace

at which tickets were being sold per hour? Show your work.

4. Find the total number of combinations for winning the January 2016 jackpot (correctly

choosing all five white balls and one red ball). Show your work.

5. If you purchased a ticket on September 4, 2015, how many total combinations were

possible then? Show all your work.

6. By changing the way the game is played on October 4, 2015, the number of

combinations in fact _________________________ (increased/decreased).

7. So in order to guarantee that you will for sure hit the$1.5 billion jackpot, you'd have to

purchase how many tickets?

8. Let's pretend you actually have that much money to spend. You purchase all of the

possibilities and hit the jackpot. It costs $2 per ticket. How much money have you

spent?

You opt to get a lump sum of $983.5 million (this doesn't include having to pay state taxes).

9. What percent of the jackpot do you actually get to keep if you opt for the lump sum?

Round to the nearest tenth.

10. What percent goes to federal taxes? Round to the nearest tenth.

11. How much money did you actually make (subtract the lump sum amount and the

amount of money you spent on all of the tickets you purchased)?

12. Suppose that it took one second for the machine to print a ticket. How many weeks

would it take one machine to print out all those tickets?

13. What state has the largest state tax? ______________ How much is it? ________

14. Ten states (plus Puerto Rico and the US Virgin Islands) do not charge state tax on lottery

winnings. List them here:

15. How many states (including Washington, D.C., Puerto Rico and the US Virgin Islands)

participate in Powerball?

16. What state or US territory boasts the most number of winning tickets purchased over

the past 13 years?

17. There were 3 winners: one in Florida, California, and Tennessee. How much is each

person expected to receive (none of these winners will have to pay state taxes on their

lottery winnings)?