First round two technical questions: one about a strategy on a game, the other one about a stochastic process. throwing a twenty faces dice for 100 rounds and how to achived a best reward.
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what is 256 squared and what is it cubed
Expectation and optimal strategies in coin game.
You are given three envelopes, one of which contains $100 and the others contain nothing. You randomly pick one envelope but don’t open it. The interviewer then opens one of the other two envelopes and shows that it’s empty. Now you have a choice: stick with your original envelope or switch to the other unopened envelope. What should you do to maximize your chances of winning, and why?
It was something like two players flip coins until one gets three heads. They take turns. Given that I go first and get heads, what is the probability that I win.
What is the probability of this and that given this and that.
Card games associated with expectation. Options introduced to hedge against risks.
What is the probability of getting an even number of heads when throwing a coin 9 times?
Can't specify but exactly the kind of binomial/similar stuff you'd expect, with combinatorics and mathematical intuition.
General probability and math questions.
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