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A security guard from a building inspects the visitor's bag before they will be allowed to enter the buildings premises. From their previous records,

A security guard from a building inspects the visitor's bag before they will be allowed to enter the buildings premises. From their previous records, 3% of people inspected have questionable items in their bags. What is the probability that a string of 15 people pass through successfully before an individual is caught with a questionable object?

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