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Sally is an overly cautious girl who sometimes likes to carry an umbrella just in case...

Sally is an overly cautious girl who sometimes likes to carry an umbrella just in case it rains.
Ninety-eight percent of the time it rains, she has her umbrella with her. She also has an umbrella
with her eleven percent of the time it does not rain. If it rains ten out of 100 days where
she lives, what is the probably that on a day she has her umbrella it will rain?

math   Statistics-And-Probability   
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Answer #1

P( she has her umbrella it will rain )=P(rains and has umbrella)+P(does not rain and has umbrella)

=(10/100)*(0.98)+(90/100)*0.11=0.197

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