Finance interview questions

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“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…”

“What is the last digit in the solution to 3^33?”

“If given X area square footage and X length of the room, what is the room's perimeter?”

“If there is an 84% chance of an event happening in an hour, what is the probability that it happens in half an hour?”

“You flip four coins. At least two are tails. What is the probability that exactly three are tails? Do this in your head, you are not allowed to write anything down for this question.”

“You are in a room with 100 lights, initially all off. If you first toggle every light, then every second, and so forth up to 100, which lights will be on at the end?”

“Calculate e^5 up to two decimal numbers without calculation”

“how many times the hour and minute hands of the clock form right angle during one day?”

Trader at Jane Street

Sep 4, 2011

“Suppose you have n points on a circle distributed such that after connecting all of the points with chords, the number of regions in the circle is maximized. How many regions are there?”

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“You are in a room with 3 switches which correspond to 3 bulbs in another room and you don't know which switch corresponds to which bulb. You can only enter the room with the bulbs once. You can NOT…”

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