# Probability Interview Questions

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Sort: Popular Date

Jan 24, 2010
 “Given a stream of integers of unknown (possibly large) length, how would you pick one at random? Now prove its random.”

### 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...”

### Assistant Trader at Jane Street

Nov 29, 2010
 “Toss 4 coins. For each head shown, the play gets 1000\$. Given a 2nd chance to play the game again. what's the strategy of the game and what's the expectation of the game.”

### Software Trading Internship at Old Mission Capital

Mar 28, 2012
 “You have two decks of cards, one normal 52-card deck and one 104-card deck with double every card. Is one deck better than the other if you wanted to get two black cards in a row?”

### Summer Technology Analyst at Goldman Sachs

Mar 16, 2012
 “How would you show a correlation between two types of data?”

### Four Star Generalist Software Engineer at LiveRamp

Feb 7, 2014
 “IMDB 2.0 - Movie DB Table Structure Your best friend Betty thinks IMDB is too complicated and challenges you to create a simple movie web site. One page will display movies (with movie name, date it...”

### Algorithmic Trading at Goldman Sachs

Feb 23, 2011
 “A stick randomly breaks into 3 pieces, what is the possibility that it forms a triangle”

### Summer Technology Analyst at Goldman Sachs

Mar 16, 2012
 “What is a normal distribution? What would you think if your data didn't fit one?”

### Software Engineering at AppFirst

Mar 11, 2010
 “Given a coin flipping game, in which player A looks for the sequence HTH and player B looks for the sequence HTT, what is the probability that player A encounters its sequence first (and the game...”

### Financial Analyst - Derivatives at Goldman Sachs

May 24, 2010
 “Given a random variable X and its distribution P(X), and a function y(x), what can you tell me about the distribution P(y(x))?”
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