# Summer Interview Questions

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### Assistant Trader Summer Internship at Jane Street

Feb 26, 2010
 “Flip a coin until either HHT or HTT appears. Is one more likely to appear first? If so, which one and with what probability?”

### Prop Trading Summer Intern at Jane Street

Mar 11, 2011
 “You are playing a game where the player gets to draw the number 1-100 out of hat, replace and redraw as many times as they want, with their final number being how many dollars they win from the game…”

### Summer Trading Intern at Jane Street

Oct 4, 2011
 “Say I take a rubber band and randomly cut it into three pieces. What's the probability that one of the pieces has length greater than 1/2 of the original circumference of the rubber band.”

### Quantitative Researcher Summer Intern at Jane Street

Apr 17, 2011
 “3) Poker. 26 red, 26 black. Take one every time, you can choose to guess whether it’s red. You have only one chance. If you are right, you get 1 dollar. What’s the strategy? And what’s the expected…”

### Software Engineering Summer Intern at Facebook

Mar 30, 2010
 “25 racehorses, no stopwatch. 5 tracks. Figure out the top three fastest horses in the fewest number of races.”

### Summer Analyst at Goldman Sachs

Mar 23, 2010
 “how many times the hour and minute hands of the clock form right angle during one day?”

### Summer Analyst at Goldman Sachs

May 8, 2011
 “13 cubed”

### Quantitative Finance Summer Associate at Morgan Stanley

Aug 5, 2010
 “At a party everyone shakes hands, 66 hand shakes occur, how many people are at the party?”

### Summer Intern at Five Rings Capital

Apr 25, 2012
 “• Is 1027 a prime number?• How would you write an algorithm that identifies prime numbers?• 2 blue and 2 red balls, in a box, no replacing. Guess the color of the ball, you receive a dollar if…”

### Summer Analyst at Goldman Sachs

Nov 24, 2013
 “Why”
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