Question: The probability of rain is 0.5. When raining, the probability that a student will bring their umbrella is 0.5, but when it is not raining

The probability of rain is 0.5. When raining, the probability that a student will bring their umbrella is 0.5, but when it is not raining the probability that they will bring their umbrella is 0.3. The student brings their umbrella, what is the probability that it is raining

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