Rhonda and Camille play a game where each has a set of cards, one of which they will hold up simultaneously. Rhonda has cards with 3, 4, or 8, while Camille has cards with 2, 5, or 7. When the cards are shown, a total is determined. If the total is Odd, Rhonda wins the total of the cards, and if the total is Even, Camille wins 16 minus the total on the cards. Build a fully labeled Payoff Matrix.

Find the expected value of the game if Rhonda plays the 3 on 30% of her plays, the 4 on 50% of her plays, and 8 the remaining 20% of the time, while Camille plays the 2 and 5 each on 45% of her plays, and 7 the rest of the time. You may use your calculator. Show any necessary extra matrix set-ups below, as well as what calculation(s) are performed.