General statistics/probability question and some questions about alpha research. The firm hasn't made money in two years, but expanding rapidly(there is something wrong there). Firm management predates American Revolution and seemed clueless how to hire. After the process was finished, I came out with a bad taste in my mouth . Stay away they won't be around for too long.
Randomly cut a line segment into three pieces.What is the probability that these three pieces can form a triangle?
What would you do if CEO misinterpret your words?
9 white cubes arranged into 3x3 cube and outside surface painted green. Randomly select one cube and roll it. If side facing up is white, what is the probability that this was the middle cube?
There is a piece of gold under the ground. It costs $K to dig it out, while the gold price varies. How you price it?
How do you sample uniformly from a unit circle?
Throw die once or twice, and get paid the face value. What is expected payoff?
Given deck of cards A and deck of cards B, which deck would you rather choose from if you need to choose two cards of the same color on consecutive draws? Deck A is a normal 52 card deck, Deck B is a 26 card deck with 50% black and 50% red. What if we add deck C, which is a 26 card deck that comes from a random subset of deck A?
P(rain on Saturday) = p1, P(rain on Sunday) = p2. What is P(rain on the weekend)?
Describe a situation where you influence a team, face problem in your life and how you solve it, learn something to accomplish a goal, etc. Quite a bit of technical questions related to past projects you have done and how you would approach a real life problem faced by researchers (i.e. how to solve xxx problem a particular product formulation).
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