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A magic genie shows up and offers you the following prize: you roll a fair 100,000-sided die (numbered 1 to 100,000). If you roll an
A magic genie shows up and offers you the following prize: you roll a fair 100,000-sided die (numbered 1 to 100,000). If you roll an odd number (like 3) you owe the genie $41. If you roll an even number (like 50,000) she will pay you $41. Before you roll the die, what is the expected value of the cash flows you will receive? A fair die means each outcome has equal probability. Round your answer to the nearest $0.01
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