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Sheila has been invited to a picnic tomorrow. The picnic will occur, rain or shine. If it rains, there is a 20% probability that Sheila will decide to go, but if it is sunny, there is an 80% probability that Sheila will decide to go. The forecast for tomorrow states that there is a 40% chance of rain. What is the probability that Sheila will attend the picnic? Express your answer as a percent.

 Aug 5, 2016
 #1
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Sheila has been invited to a picnic tomorrow. The picnic will occur, rain or shine. If it rains, there is a 20% probability that Sheila will decide to go, but if it is sunny, there is an 80% probability that Sheila will decide to go. The forecast for tomorrow states that there is a 40% chance of rain. What is the probability that Sheila will attend the picnic? Express your answer as a percent.

 

Prob that it will rain and she goes + prob that it will be sunny and she goes

 

=     0.4 * 0.2     +           0.6*0.8

 

=          0.08      +              0.48

 

=   0.56

 

56% chance 

 Aug 5, 2016

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