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Medium · Market Microstructure · Quant Trader interview question · probability, approximation, mental-math, expected-value
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.).