Question

6. In the Town of Somewhere it is either rainy (R), foggy (F) or sunny (S) with probabilities 0.3, 0.2 and 0.5 respectively. • On days that it is rainy, Fred carries his umbrella 98% of the time. • On days that it is foggy, Fred carries his umbrella half of the time. • On days that it is sunny, Fred carries his umbrella 10% of the time. This morning, I saw Fred carrying his umbrella. What is the probability that it is sunny?

Answer 1

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