The organization is worried they won't be able to sell all the tickets, so they announce that, in addition to the grand prize, they will offer 10 second prizes of \(\$ 500\) in cash. What is the new expected value of a single ticket?

A charitable organization is selling raffle tickets as a fundraiser. They intend to sell 5,000 tickets at \(\$ 10\) each. One ticket will be randomly selected to win the grand prize of a new car worth \(\$ 35,000\).