You draw a card from a deck. If you get a red card, you win nothing. If you get a spade, you win $10. For any club, you get $30 plus an extra $50 for the ace of clubs a) Create a probability model for the amount you win at this game. b) Find the expected amount you'll win. c) How much would you be willing to pay to play this game? a) Card red spade ace of clubs any other club Winnings 0 10 80 30 Probability (Typo exact answers in simplified form.) b) E(winnings) - $0 (Round to two decimal places as needed.) c) How much should you pay to play this game? O A. As much as you can, because the game has good odds and the payout is proportional to the wager OB. Exactly the expected value, because the probability of profitting decreases for larger wagers and the payout decreases for smaller wagers. Oc. No more than half of the expected value, because this gives a 50% chance of profitting OD. No more than the expected value, because this is the average payout of the game