Sarah plays a game in which she can purchase a ticket. Each ticket has several chances, or "catches," to win money. The table below shows the probability of winning at each stage, and how much money the ticket can win at each catch. Every time Sarah plays the game, her ticket is played through each catch, which means she can win money at each stage. Catch Probability Winnings Catch 0 50% $1 Catch 1 30% $5 Catch 2 15% $10 Catch 3 5% $100 Given the probabilities and payout values in this table, what is the expected value of Sarah's ticket? a.) $53.50 b.) $8.50 c.) $116.00 d.) $6.70