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Daniel arrives at a metro station at 4 pm to take M1 metro. M1 metros arrive at the station as a Poisson process with a

Daniel arrives at a metro station at 4 pm to take M1 metro. M1 metros arrive at the station as a Poisson process with a rate of 1/20 metros per minute, i.e., the average interval between consecutive M1 metros is 20 mins. Evan arrives at the same metro station at 4:30 pm to take M2 metro. M2 metros arrive at the metro station as a Poisson process with a rate of 1/10 metros per minute. The M1 and M2 metros arrival processes are independent. What is the possibility that Evan will take his metro earlier than Daniel?

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