Question: Workers 1, . . . , n are currently idle. Suppose that each worker, independently, has probability p of being eligible for a job, and

Workers 1, . . . , n are currently idle. Suppose that each worker, independently,

has probability p of being eligible for a job, and that a job is equally likely to be

assigned to any of the workers that are eligible for it (if none are eligible, the job

is rejected). Find the probability that the next job is assigned to worker 1.

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