% of the time there are dark clouds in the morning. On days when it does not snow, 25% of the time there are dark clouds in the morning. Use a probability tree to answer the following questions and round your answers to 3 decimal places.   What is the chance of dark clouds in the morning on a random day in February?  Given that there are dark clouds in the morning, what is the chance that it will snow?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Historically, there is a 35% chance of snow on any given day in February.  Furthermore, on days when it snows, 90% of the time there are dark clouds in the morning. On days when it does not snow, 25% of the time there are dark clouds in the morning. Use a probability tree to answer the following questions and round your answers to 3 decimal places.  

What is the chance of dark clouds in the morning on a random day in February? 

Given that there are dark clouds in the morning, what is the chance that it will snow?

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