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Dice game with 100-sided die, play against an opponent and the one who gets the higher number wins 1€ from the casino (not from the other person). Tie = no money. You get the option to double the number of your roll for 0.2€. In what interval is it worth doubling?
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Quant trader

Interviewed at Jane Street

4.4★
Nov 15, 2025

Dice game with 100-sided die, play against an opponent and the one who gets the higher number wins 1€ from the casino (not from the other person). Tie = no money. You get the option to double the number of your roll for 0.2€. In what interval is it worth doubling?

They asked me to find the optimal strategy in a finite sequential game where outcomes were determined by discrete probabilities that had to be inferred from the nature of the problem itself (no. of cards, numbers on cards, etc.). This problem involved maximizing a reward under uncertainty.
avatar

Quantitative Trader

Interviewed at Jane Street

4.4★
Dec 4, 2025

They asked me to find the optimal strategy in a finite sequential game where outcomes were determined by discrete probabilities that had to be inferred from the nature of the problem itself (no. of cards, numbers on cards, etc.). This problem involved maximizing a reward under uncertainty.

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