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You’re given two red cards and two black cards. The cards are shuffled and placed face down. You flip them over one at a time. You start with $100, and before revealing each card, you can choose how much to bet. If the card is red, you win double your bet. If it’s black, you lose the amount you bet. What’s the optimal betting strategy in this scenario? Now, suppose there’s a $20 entry fee to play the game. How does that affect your strategy?
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Quantitative Researcher

Interviewed at Da Vinci Derivatives

4.5★
May 1, 2025

You’re given two red cards and two black cards. The cards are shuffled and placed face down. You flip them over one at a time. You start with $100, and before revealing each card, you can choose how much to bet. If the card is red, you win double your bet. If it’s black, you lose the amount you bet. What’s the optimal betting strategy in this scenario? Now, suppose there’s a $20 entry fee to play the game. How does that affect your strategy?

1) dynamic programming: cansum(int a, list [b,c,d]), return whether a can be a sum of elements in the list; 2) option pricing: explain ito's lemma 3) two players, one bid a k from U(0,1), expectation of draws to bid the opponent
avatar

Quantitative Researcher

Interviewed at Squarepoint Capital

3.9★
Oct 21, 2023

1) dynamic programming: cansum(int a, list [b,c,d]), return whether a can be a sum of elements in the list; 2) option pricing: explain ito's lemma 3) two players, one bid a k from U(0,1), expectation of draws to bid the opponent

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