You own a casino. Mike (who is head of games development for the casino) proposes a new game whereby the player to throw a 6-sided die and a 12-sided die and the sum of the dice is considered. [4] Mike's suggestion for the game is: Player pays $4 to play.

Player rolls both dice

Player wins $6 (gets $10 back) on all Odd totals (Mike says, "The more they 'win', the more they play")

Player loses his/her $4 on any "regular" even roll

Player loses "double" (i.e. $8 total) on any "doubles" rolled (i.e. both dice have the same number)

Calculate the expected winnings for the player (expected value) and determine whether Mike deserves a promotion or to be fired for his new game.