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Have a truck starting that can carry a maximum of 1000 apples, and starts with 2000 apples at a depot. What's the maximum number of apples that can be carried across a 1000 mile desert assuming 1 apple falls off the truck for every mile travelled?
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Assistant Trader

Interviewed at Jane Street

4.4★
Jan 12, 2012

Have a truck starting that can carry a maximum of 1000 apples, and starts with 2000 apples at a depot. What's the maximum number of apples that can be carried across a 1000 mile desert assuming 1 apple falls off the truck for every mile travelled?

You play a game where you roll a 100-sided die label with the numbers 1-100. You can either get paid the amount rolled in dollars or pay a dollar to roll again. You can always elect to pay another dollar to roll again, until you're finally satisfied with your current roll and get paid out based on that. What's the optimal strategy for this game and what's your expected winnings given this strategy?
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Assistant Trader Internship

Interviewed at Jane Street

4.4★
Feb 28, 2013

You play a game where you roll a 100-sided die label with the numbers 1-100. You can either get paid the amount rolled in dollars or pay a dollar to roll again. You can always elect to pay another dollar to roll again, until you're finally satisfied with your current roll and get paid out based on that. What's the optimal strategy for this game and what's your expected winnings given this strategy?

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