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.
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