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1. What is the expectation of the product of two die rolls? 2. Instead of die imagine drawing cards with the same numbers written on the cards but without replacement, is the expected value of the product smaller/larger/the same comparing to 1? 3. You can split the deck of cards from 2 into two piles. Then you draw a random card form the first and the second piles and compute the product of numbers written on the two cards. How do you split the deck to maximize the expectation of the product? 4. Some other game that involves 10 cakes with 9 being of one flavor, and one being of a different flavor, and the task is to guess correctly as many flavors as you can, but I don't remember the exact rules.
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Quantitative Trader Intern

Interviewed at Jane Street

4.4★
Oct 16, 2024

1. What is the expectation of the product of two die rolls? 2. Instead of die imagine drawing cards with the same numbers written on the cards but without replacement, is the expected value of the product smaller/larger/the same comparing to 1? 3. You can split the deck of cards from 2 into two piles. Then you draw a random card form the first and the second piles and compute the product of numbers written on the two cards. How do you split the deck to maximize the expectation of the product? 4. Some other game that involves 10 cakes with 9 being of one flavor, and one being of a different flavor, and the task is to guess correctly as many flavors as you can, but I don't remember the exact rules.

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