Historically, there is a 25% chance of rain on any given day in April. Furthermore, on...
Historically, there is a 25% chance of rain on any given day in April. Furthermore, on days when it rains, 80% of the time there are dark clouds in the morning. On days when it does not rain, 35% of the time there are dark clouds in the morning.
a) Construct a properly labelled tree diagram to represent this problem.
b) What is the chance of dark clouds in the morning on a random day in April?
c) Given that there are dark clouds in the morning, what is the chance that it will rain?
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