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Suppose the weather forecast states there is a 10% chance of rain and 15% chance of snow today. Then, if it rains or snows today, there is a 90% chance it will be cloudy tomorrow. Otherwise, there is a 30% chance it will be cloudy tomorrow. What is the probability it will be cloudy tomorrow? Please show your work and enter your answer as a decimal. 

 Mar 13, 2021
 #1
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The probability that it will be cloudy tomorrow is 44%.

 Mar 13, 2021
 #2
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consider

 

TodayTodayproductcloudy tomorrowFinal product
Rain but not snow0.1*0.85 *0.9=
Not rain but does snow0.9*0.15 *0.9=
rain and snow0.1*0.15 *0.9=
neither0.9*0.85 *0.3=
    Sum of the probs= ?

 

 

I will leave you to finish it.

 Mar 13, 2021
edited by Melody  Mar 13, 2021
 #3
avatar+550 
+1

thank you!

xxJenny1213xx  Mar 13, 2021

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