Jane StreetTrader InternQuant Trader InternQuestion #305
You are playing a game in which you roll a fair 6-sided die. If you roll n, you get n dollars. How much would you pay for this game? Suppose you may reroll if you're not satisfied with the first roll, but must accept the result of the second roll. Now, how much would you pay for the game? What if you can reroll up to two times? How much would you pay?
Unlock the Full Solution
Enter your email to get the detailed step-by-step solution to this Jane Street interview question, plus access to free interview prep resources.
We'll also send you a free HFT mock interview video.
More Jane Street Trader Intern Questions
In a group of 10 people standing in a circle, how many handshakes occur if each person shakes hands with every other person exactly once?Find the smallest positive integer x such that x raised to the power x (x^x) contains the digits '2016' consecutively. Determine a range [n, 2n] that contains this x. Additionally, specify how much you would bet on your choice and your level of confidence.How many throws of a fair 6-sided die are expected until each number appears at least twice?If copying, pasting, and typing a letter each take one second, what is the fastest way to reach at least 200 letters written?You roll a 4-sided die and sequentially accumulate the total score from each roll. What is the expected value of the first total that exceeds 100? Follow-up: What if you start at 96 instead of 0?
Get All 664+ Jane Street Questions with Solutions
Plus 16+ hours of video lectures, resume tailoring, and 1:1 mentorship from quants.
Schedule a Call