Trader Assistant Interview Questions

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

“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…”

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

“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…”

“Simulate a 6 sided die with a coin.”

“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?”

“What is the expected value of rolling two dice?”

“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?”

“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”

“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…”

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