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P(Rain) = 0.4

P(No Rain) = 0.6

P(Rain on 3 out of 5 days) = 5C3x(0.6)^2x(0.4)^3 = 0.2304

P(Rain on 4 out of 5 days) = 5C4x(0.6)^1x(0.4)^4 = 0.0768

So P(Rain 3 or 4 out of 5 days) = 0.2304 + 0.0768 = 0.3072

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Q: The probability it will rain is 40 percent each day over a five-day period what is the probability that is will rain on exactly three or four of the five days?
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