1-dim Geometric probability | Conditional probability based solved example (details in description)

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1-dimensional Geometric probability | Conditional probability based solved example (details in description)

A bus arrives at a station every day at a random time between 1 PM and 1:30 PM. A person arrives at this station at 1 and waits for the bus. If at 1:15 the bus has not yet arrived, what is the probability that the person will have to wait at least an additional 5 minutes?
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