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A stock unit gains $100 or loses $50, and a casino takes even-money bets on its direction. Using whole units, what position profits either way, and how much is guaranteed?

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You can buy a stock in $100 units that either gains $100 or loses $50 per unit, and you can also bet at a casino on the stock's direction: a correct bet wins $100 per $100 unit and a wrong one loses the $100. Using whole units only, construct a position that profits in both outcomes. What is the guaranteed profit with the fewest total units?

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