# Doubled up

**Discrete 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.)

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.