Dice Sum Divisibility - Quant Trader Interview Question
Difficulty: Medium
Category: Market Microstructure
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Topics: probability, approximation, mental-math, expected-value
Problem Description
You are developing a Monte Carlo simulation for a new dice game. To optimize the simulation, you need to quickly estimate probabilities.
Given that you roll six fair six-sided dice, what is the approximate probability that the sum of the numbers rolled is divisible by 5?
Assume the rolls are independent and identically distributed (i.i.d.).
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