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Quantitative research analyst Interview Questions

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What is the probability of a Brownian motion hit 1 before hitting -2. The Brownian motion starts at 0.

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Interesting question: From a deck of 52 cards pick 26 at random. From this set of 26 you pick two cards. You win if the both of these cards are of the same color. Is this a game you would prefer over one in which you win by picking two (first two picks) of the same color at random from a deck of 26 with equal number of black and red cards

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You have a chest of 8 drawers. With probability 1/2, you put a letter in one of the drawers. With probability 1/2, you don't put a letter in any drawer. I open the first 7 drawers, all are empty. What is the probability there is a letter in the 8th drawer?

9 Answers

A tosses n+1 coins. B tosses n coins. B wins if he has at least as many heads as A. What is the probability that B wins?

7 Answers

From (0,0,0) to (3,3,3) in 3D space how many paths are there if we move only right, forward or up?

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You call the home of a family w/ two children and a kid "billy" answers the phone. What is the probability that both children are boys? What is a virtual constructor in C++?

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66 handshakes occur at a party how many people at a party if everyone shakes hands with everyone else.

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2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops. B. 10 ropes, no color. All the other remains the same.

7 Answers

How many digits in (100)^10 Strategy for winning one dollar for every heads in 100 throws of coin toss. What question would you ask if you could ask one question to the person who knows the entire seq of the 100 coin tosses

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There is a big line of people waiting outside a theatre for buying tickets. The theatre owner comes out and announces that the first person to have a birthday same as someone standing before him in the line gets a free ticket. Where wil you stand to maximise your chance?

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