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On average spring day in Seoul, there is 5% chance of rain. The weather forecast usually forecast the rain correctly with a good chance of

On average spring day in Seoul, there is 5% chance of rain. The weather forecast usually forecast the rain correctly with a good chance of 90%. Of course, the forecast is not perfect, hence it has 3% chance to predict rain when in fact it is not going to rain. If a forecast of rain is given what is the probability that it really is going to rain? (Hint: use Bayes' theorem)

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