A weather forecaster predicts whether or not it will rain Out of the rainy days, they correctly predict the weather 70 of the time Out of the day that are not rainy they correctly predict the weather 90 of the time It rains 10 of the time what is the probability of a correct prediction if they predicted correctly, what is the probability that it was a rainy day if they did not guess correctly, what it the probability it was a rainy day

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Question: A weather forecaster predicts whether or not it will rain. Out of the rainy days, they correctly predict the weather 70% of the time. Out

A weather forecaster predicts whether or not it will rain. Out of the rainy days, they correctly predict the weather 70% of the time. Out of the day that are not rainy they correctly predict the weather 90% of the time. It rains 10% of the time

what is the probability of a correct prediction?
if they predicted correctly, what is the probability that it was a rainy day?
if they did not guess correctly, what it the probability it was a rainy day?

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