first question - let's play a game where you have ten chips, and you want to split them up into stacks such that you want to maximize your score, which is the product of the size of each stack. what's the best you can do with 10? what about 100 chips? what about N chips arbitrarily large?
Lots of difficult questions about expectation of random processes. For example, we play a game with a 100-sided die. Each roll costs a dollar, and you can choose to stop at any time and accept the dollar amount of your most recent roll. What is the best stopping time?
Asides from the math problems which I listed above, I was asked standard questions such as "why Jane Street" etc.
Second round, estimate the mass of all oceans on earth and give a 90% confidence level.
angle at 9:30
Angle between minute and hour hand at different times.
"How many three pointers are made in the NBA per year?" "What's your 90% confidence interval on that?"
Q: Interpret dates as numbers (e.g. 10th May 2020 is 10052020). What is the next date where each digit is unique?
If you roll 2 dice, what is the probability that the sum is a square number?
Some mathematical calculation questions, for example the next date with the format they choose
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