Each day, a weather forecaster predicts whether or not it will rain. For 80% of rainy days, she correctly predicts that it will rain. For 90% of non-rainy days, she correctly predicts that it will not rain. Suppose that 10% of days are rainy and 90% are non-rainy. a) What proportion of the forecasts are correct? b) Another forecaster always predicts that there will be no rain. What proportion of these forecasts are correct?
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