Two geiger counters record arrivals of radioactive, Basic Statistics

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Two geiger counters record arrivals of radioactive

Question: Two Geiger counters record arrivals of radioactive particles. Particles arrive at Counter 1 according to a Poisson process, at an average rate of 3 per minute. Independently, particles arrive at counter II at an average rate of 4 per minute, also according to 3 Poisson process. In a particular one-minute period, the counters recording at total of 8 arrivals. Given this, what is the chance that each counter recorded four arrivals?

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