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.
|Today||Today||product||cloudy tomorrow||Final product|
|Rain but not snow||0.1*0.85||*0.9||=|
|Not rain but does snow||0.9*0.15||*0.9||=|
|rain and snow||0.1*0.15||*0.9||=|
|Sum of the probs= ?|
I will leave you to finish it.