Show work! Suppose that a new state lottery game is developed with the following prizes and the number of tickets for each dollar prize:

Show work!

Suppose that a new state lottery game is developed with the following prizes and the number of tickets for each dollar prize:

 Prize             of Tickets

$      0             88,120

$      1             11,000

$      5                  500

$    10                  200

$    20                  100

$   100                    50

$  500                    20

$ 1000                    10

The cost of a ticket is $1 and there are a total of 100,000 tickets available. Answer each of the following questions:

           Question 1:     What is the probability that an individual purchasing one ticket will win a prize of $1,000?

           Question 2:     What is the probability that an individual purchasing one ticket will win $5 or more?

           Question 3:     The actual return for purchasing one ticket must take into account the $1 spent to purchase the ticket. Keeping this in mind, what is the                                            probability that purchasing one ticket will yield a return of $0?

           Question 4:     What is the expected return when an individual purchases one lottery ticket in this game?