Calculate dice game win probability
Company: Jane Street
Role: Software Engineer
Category: Statistics & Math
Difficulty: easy
Interview Round: HR Screen
##### Question
In a dice game with two friends, each player rolls one standard 6-sided die; the highest roll wins, and if there is a tie among the highest numbers, all tied players re-roll. Your two friends have both rolled a 4, and you now roll next. What is the probability that you eventually win the game?
Quick Answer: This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Calculate dice game win probability states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.