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#### guevara

A, B, and C shoot at a target in this order: ABCABCABCABC... until the target is hit. Each shot and each shooter is independent of each other. The probability that A hits the target is 4/5. The probability that B hits the target is 4/5. The probability that C hits the target is 1/3. What is the probability that the first person to hit the target is B?

Could anyone explain how you do this?