A fundraising lottery offers 500 tickets for \($3\) each. If the grand prize is \($250\) and four second prizes are \($50\) each, what is the expected value of a single ticket? (Don’t count the price of the ticket in this yet.) Now, including the price, what is the expected value of the ticket? (Knowing this value, does it make any “sense” to buy a lottery ticket?) The fundraising group has a target of \($1000\) to be raised by the lottery. Can it expect to make this much?