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Pat Sajork has two drawers. One drawer contains three gold coins, and the other contains one gold coin and two silver coins. We are allowed to choose one drawer, and we will be paid $500 for each gold coin and $100 for each silver coin in that drawer. Before choosing, we may pay Pat $200, and he will draw a randomly selected coin (each of the six coins has an equal chance of being chosen) and tell us whether it is gold or silver. For instance, Pat may say that he drew a gold coin from drawer 1. Should we pay Pat $200? What is EVSI? What is EVPI?
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