A lottery is run in which every ticket has six numbers in a particular order. Each of the six numbers is in the range from 1 through 50. The person purchasing a lottery ticket can select the numbers on their ticket. On each Friday of the week, the state lottery commission holds a drawing in which six random numbers are generated. Each number in the range from 1 through 50 is equally likely. The order of the numbers matters, so if the random numbers selected are (25, 7, 12, 37, 2, 19) then the ticket (7, 25, 12, 37, 20, 19)matches in location 3, 4, and 6. If a ticket matches in all six locations, then the ticket holder wins $100,000,000. If the ticket matches in five of the six locations, then the ticket holder wins $1,000,000. The ticket holder does not win any money for any of the other outcomes. What are the expected winnings?