In a game, four slips of paper are numbered 2, 4, 7, and 9. A slip of paper is chosen at random and not replaced before a second slip is chosen. The numbers on the two slips of paper are added together. Players chose 1 of 3 options before the sum of these slips of paper is revealed. OPTION A: If the sum is greater than 11, you win $20. Else, you pay $5. OPTION B: If the sum is less than 11, you win $15. Else, you pay $3. OPTION C: If the sum is even, you win $10. Else you pay $2. Dylan chose the option with the greatest mathematical expectation and Doug chose the option with the least mathematical expectation. What is the difference between the mathematical expectations?