Doubled upDiscrete Mathematics Level 3
A gambler invites you to play a game. He has two dice with him: a fair 6-sided die with faces numbered 1, 2, 3, 4, 5, and 6, and a fair 8-sided die with faces numbered 3, 4, 5, 6, 7, 8, 9 and 10.
You roll both dice simultaneously. If you get a double, he pays you the sum of the two dice in dollars (i.e., if both dice show a 4 you receive 4 + 4 = 8 dollars.) If you don't get a double, you win nothing.
The price to play is 1 dollar. What is your mathematical expectation in cents? (100 cents = 1 dollar.)