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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