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James stays home with probability (1-p) and goes out with probability p. If he goes out, he meets his neighbor with probability q and doesn't

James stays home with probability (1-p) and goes out with probability p. If he goes out, he meets his neighbor with probability q and doesn't meet his neighbor with probability (1-p). Of course, if we stays home, he also does not meet his neighbor. What is the probability that James meets his neighbor on the first day

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