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The outcomes of an experiment are 0, 1, and 2, and they occur with probabilities p0,...

The outcomes of an experiment are 0, 1, and 2, and they occur with probabilities p0, p1, and p2, respectively, where p0 + p1 + p2 = 1. Suppose that N independent trials of this experiment are performed. What is the probability that outcomes 1 and 2 both occur at least once in the N trials?

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