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Sosa0600

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Feb 21, 2015
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In a simple game, a six-sided die is rolled 4 times. If all four rolls result in either 1 or 2, then the player wins $50 dollars. If the player has to pay $10 to play the game, what are the expected winnings of the player over time if many games are played?
 
In a simple game, a six-sided die is rolled 4 times. If all four rolls result in either 1 or 2, then the player wins $50 dollars. If the player has to pay $10 to play the game, what are the expected winnings of the player over time if many games are played?

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In a simple game, a six-sided die is rolled 4 times. If all four rolls result in either 1 or 2, then the player wins $50 dollars. If the player has to pay $10 to play the game, what are the expected winnings of the player over time if many games are played?
Assuming I understand the problem correctly, if I could get someone to play against me at least 10 times [of 4 rolls each], I would pay $10000 instead of just $50 if we use a fair die. [Money to be deposited in escrow before the game starts and game to be concluded within 12 hrs of deposit].
 
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