Citadel Securities–styleAnalystFundamental AnalystQuestion #37
You and a friend each independently receive a value drawn uniformly from (0,1). After seeing your value, you can choose to switch values with your friend or keep your original value. What is the probability that you end up with a higher value than your friend at the end of the game?
Build Your Approach
State the assumptions, try a simple case, then work toward a general solution. Check the result and explain how it changes if an assumption changes.
Try the free diagnostic with worked solutions →Get Free Interview Prep Resources
More Citadel Securities–Style Analyst Questions
Price an option where the underlying asset is the outcome of a fair six-sided die roll.Two tennis players, A and B, are at deuce. Player A wins a point with a 60% chance, and Player B wins a point with a 40% chance. What is the probability that A wins the game?Estimate how many basketballs can fit in a standard school bus.
Practice the Reasoning Behind the Answer
Bring your target roles and interview timeline to a free quant consult. Discuss your preparation priorities and how Quant Blueprint’s lessons, practice and mock interviews can help.
Book a Free Quant ConsultYour goals · your preparation · your next steps