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You are planning an outdoor event for your university club. Using past years data, the average percentage of days in the year it has

You are planning an outdoor event for your university club. Using past years data, the average percentage of days in the year it has rained in Tallahassee is approximately 28.2%. The meteorologists in Tallahassee are pretty good and correctly forecasts rain 95% of the time and incorrectly forecasts rain 10% of the time. If it is forecast to rain, what is the probability it will rain? Let A and 3 be independent events. Write the probability P(AUB) in terms of P(A) and P(B).

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