Jump Trading–styleQuant Researcher InternQuantitative Researcher InternQuestion #53
There are four balls: two black and two white. You randomly pick two balls and flip their colors (from black to white or vice versa), and repeat this process. How many times must you repeat this process to be certain that all four balls end up the same color?
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 Jump Trading–Style Quant Researcher Intern Questions
Compute the expected value of the maximum of n dice rolls.There are four balls, two black and two white. You randomly pick two balls and flip their color (black to white or white to black). You repeat this process. How many times, on average, must you repeat this to ensure all four balls are the same color?
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