(8 points) (Expected values) Suppose you roll a fair die and your opponent flips a fair coin simul- taneously. You win $4 whenever a Head appears and the number of dots on the top face of the dice is either one or six. For all other outcomes, you lose $1.

(a) (2pts) How many possible outcomes are there? An outcome is the combined result of both coin-flipping and dice-rolling.

(b) (3pts) What is your expected payoff?

(c) (3pts) What is your opponent's expected payoff? Is the game in your favor?