Compute expected max/min of n die rolls
Company: Bnp
Role: Data Scientist
Category: Software Engineering Fundamentals
Difficulty: easy
Interview Round: Technical Screen
You roll a fair six-sided die **n** times independently.
1) Compute the expected value of the **maximum** roll.
2) Compute the expected value of the **minimum** roll.
Give a formula in terms of **n**.
Overview: This question evaluates understanding of discrete probability, expectation, and order statistics by asking for closed-form expressions for the expected maximum and minimum of n independent six-sided die rolls; it is categorized under Software Engineering Fundamentals and operates at a theoretical/mathematical level.