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Trader Assistant Interview Questions

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what is the expected number of flips of a coin to simulate a 6 sided die.

12 Answers

E(x) = .75*3 + .25*E(X+1). From there it simplifies to E(X) = 10/3

E(x)=3+0.25E(x), so E(x)=4.

Hi Can you please explain this in detail ? I dont seem to follow how did u guys do this ? Thanks

Here is an example of a brainteaser during the interview: You have five pirates, ranked from 5 to 1 in descending order. The top pirate has the right to propose how 100 gold coins should be divided among them. But the others get to vote on his plan, and if fewer than half agree with him, he gets killed. How will the coins end up being divided, assuming all the pirates are rational and want to end up alive?

15 Answers

Flip a coin until either HHT or HTT appears. Is one more likely to appear first? If so, which one and with what probability?

13 Answers

You have a box filled with cash. Cash value is uniformly randomly distributed from 1 to 1000. You are trying to win the box in an auction: you win the box if you bid at least the value of the cash in the box; you win nothing if you bid less (but you lose nothing). If you win the box, you can resell it for 150% of its value. How much should you bid to maximize the expected value of your profit (resale of box minus bid)?

11 Answers

Simulate a 6 sided die with a coin.

13 Answers

If you flip a coin until you decide to stop and you want to maximize the ratio of heads to total flips, what is that expected ratio?

12 Answers

What is the expected value of rolling two dice?

9 Answers

There is a 91% chance of seeing a shooting star in the next hour, what is the probability of seeing a shooting star in the next half hour?

12 Answers

10 lightbulbs in a row, on or off, no two adjacent lightbulbs can be on. how many combinations can we have? you may use a piece of paper

8 Answers

Coin Triplets Problem Denote H for head, T for tail in a coin flip. Flip a fair coin many times until either a pattern of HHT or HTT occurs. What's the probability that HHT occurs before HTT? Please elaborate the reasoning.

7 Answers
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