1 (a) Suppose a person flips a coin, but before you can see the result, the person puts her hand over the coin. At this point, does it make sense to talk about the probability that the result is heads? Is this any different from the probability of heads before the coin was flipped? (b) Suppose there are two commodities A and B with strongly negatively correlated daily returns, such as stock and gold. Is it possible to find another commodity with daily returns that are strongly negatively correlated with both A and B? Explain your reasoning. (c) "if two events are mutually exclusive, they must not be an independent event." Is this statement true or false? Explain your choice. Give an example