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Each year campus police remove abandoned bicycles parked around campus. Suppose that in late March as the weather gets warmer, 6% of the bicycles that

Each year campus police remove abandoned bicycles parked around campus. Suppose that in late March as the weather gets warmer, 6% of the bicycles that are parked at bike racks around campus on a particular day are abandoned bicycles.

On that day the campus police start a 'bike round-up'. Bicycles parked around campus are tagged; any bike with its tag remaining two days later is considered abandoned and is removed.

Owing to some late winter weather among other factors, 15% of the bikes that are not abandoned nonetheless have their tags remaining after two days and are removed. Additionally, 4% of the bikes that are abandoned have lost their tags, and so are not removed.

What is the probability that a bike that was removed wasnotan abandoned bicycle?

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