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A fair die is rolled until win or loss occurs:
For k=1 to 5: if a 6 occurs on the kth roll you win N dollars and game ends; if a number<k occurs you lose $10 and the game ends; otherwise you roll again.
For k>5: if a 6 occurs on the kth roll you win N dollars and the game ends; if a number<5 occurs you lose $10 and the game ends; if a 5 occurs you roll again.
what value should N have for this game to be fair?
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Please use a combination of content and supportive examples.
Determine the expected value and standard error of the sum of 400 draws?
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