The tree diagram below shows the probabilities for the simple events combining weather patterns and days of the week. You have the probabilities for weather conditional on days of the week. Find the probability of a day being a weekday, conditional on it raining (to the nearest thousandth). .75 Clear (.215) Weekends 10 Overcast (029) .286 .15 Raining (.043) Clear (.536) .714 .75 Overcast (071) Weekdays 10 .15 -Raining (.107)

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