In order to boost funding for the state of Florida or Mississippi, depending on where you are, each state has decided to start a daily drawing where people can purchase a ticket for $1 with a 3-digit number from 000-999. If the number on the ticket matches the number drawn, the person wins $500. Suppose a person is risk neutral, i.e., their utility is linear in income. In this case U=Y. Show that a risk neutral person will never purchase a lottery ticket. Why then do so many people purchase these types of lottery games? (Hint: what is the Expected outcome from the gamble?)