10. Assume the probability of finding a rare coin buried in the sand at a popular beach is 0.0000001. Your friend has spent many hours combing this beach in search of rare coins and has found none. On your first visit to the beach, you decide it would be fun to build a sandcastle and when you start putting some sand in a bucket for that purpose, you are surprised to find a 300-year-old silver coin. a. Your friend demands that you reveal how you knew where to look for the coin. They refuse to believe that you just "accidentally" did something they have been trying to do for a long time without success. What bias, fallacy, or heuristic is reflected by your friend's beliefs? Explain your answer. b. After you find the coin, you say to yourself: "Today is my lucky day!" You don't usually buy lottery tickets, but you decide that today is a good day to do so. Assuming that winning lottery numbers are not affected by the placement of coins on the beach, what fallacy are you likely committing? Explain your