You and an opponent are each going to flip a fair coin until you reach your goal. Your goal can either be: heads (H) immediately followed by tails (T) or H immediately followed by H. Whoever reaches his/her goal with the fewest number of flips wins. You get to choose your goal and your opponent has to take the other goal. Which goal should you choose? (So for example, if my goal is HH and I flip THTHH and my opponent flips HHT, then my number of flips is 5 and my opponent's is 3, so my opponent wins.) Your first programming assignment is to answer the following two questions using a Python simulation: what is the expected number of flips required to see H immediately followed by H? what is the expected number of flips required to see H immediately followed by T?