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Jane Street Interview Question

Jane StreetAssistant Trader Interview

You have two dices. There are two players. You each pick a number. The person who picks the number closest or equal to the sum of the roll of the dices is the winner. What is the strategy to optimize chances of winning. Also, is it always better to pick the number that has the highest chance of being rolled? This situation does not apply to the rules of this game. For example, this question could apply to the rules when the two numbers on the die are multiplied rather than added.

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