. A contestant on a game show is presented with two questions: a History question and a Geography question. The contestant can answer the questions in any order, but if they answer the first question wrong they will not be allowed to answer the second question. If the contestant answers the History question right, they will win $300, and if they answer the Geography question right, they will win $100 (if they answer both questions, they receive $400 total). If the contestant has a 50% chance of answering the History question right and a 70% chance of answering the Geography question right, which order should they answer the questions in order to maximize their expected winnings?