Dice Sum Modulo 5 - Quant Trader Interview Question
Difficulty: Medium
Category: Market Microstructure
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Topics: probability, approximation, divisibility, mental-math
Problem Description
You are developing a trading strategy that depends on certain probabilistic events. As part of your analysis, you want to determine the probability that the sum of $n$ fair six-sided dice rolls is divisible by 5.
What is the approximate probability that the sum of 20 fair six-sided dice rolls is divisible by 5?
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