Expected Dice Rolls to See All Faces - Quant Trader Interview Question
Difficulty: Hard
Category: Probability & Statistics
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Topics: probability, expected-value, harmonic-number, coupon-collector, dice
Problem Description
You are rolling a fair 6-sided die. What is the expected number of rolls until you have seen all 6 faces at least once?
This is a classic probability problem known as the Coupon Collector's Problem, adapted for a six-sided die.
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