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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-q). Of course, if we stays home, he also does not meet his neighbor. What is the probability that within the first 7 days, there was no day in which James went out, but did not meet his neighbor

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