# Don't stand next to me

What is the probability that the height discrepancy between two random guys exceeds 12 inches? Give your answer to 3 decimal places.

Details and Assumptions

• Above is a remarkable picture of Spud Webb $$5'7$$ standing next to Manute Bol $$7'7$$.

• Adult male heights are distributed normally with an average of 68 inches and a standard deviation of 4.5 inches.

• Monte-Carlo is your friend, although other approaches are also definitely encouraged.

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