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4. Dan and Phil are preparing to host a party. They want to have a set of cornhole boards for guests to play. They have ordered a cornhole set online. There is an 84% chance that the cornhole set will arrive in time for the party. If the cornhole set arrives in time, then Annie (who loves to play the game) will attend with a probability 0.95. In the event there is no cornhole, Annie will not attend Dan and Phil's party with a probability of 0.27. a) Represent this situation with a tree diagram. Label the parts clearly. b) What is the probability there is no cornhole? c) What is the probability Annie attends Dan and Phil's party?

4. Dan and Phil are preparing to host a party. They want to have a set of cornhole boards for guests to play. They have ordered a cornhole set online. There is an 84% chance that the cornhole set will arrive in time for the party. If the cornhole set arrives in time, then Annie (who loves to play the game) will attend with a probability 0.95. In the event there is no cornhole, Annie will not attend Dan and Phil's party with a probability of 0.27. a) Represent this situation with a tree diagram. Label the parts clearly. b) What is the probability there is no cornhole? c) What is the probability Annie attends Dan and Phil's party?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. Dan and Phil are preparing to host a party. They want to have a set of cornhole boards for guests to play. They have ordered a cornhole set online. There is an 84% chance that the cornhole set will arrive in time for the party. If the cornhole set arrives in time, then Annie (who loves to play the game) will attend with a probability 0.95. In the event there is no cornhole, Annie will not attend Dan and Phil's party with a probability of 0.27. a) Represent this situation with a tree diagram. Label the parts clearly. b) What is the probability there is no cornhole? c) What is the probability Annie attends Dan and Phil's party? d) Given that Annie did attend the party, what is the probability there was cornhole at the party? e) Is whether Annie attends the party independent of whether there is cornhole? Mathematically justify your answer.
Transcribed Image Text:4. Dan and Phil are preparing to host a party. They want to have a set of cornhole boards for guests to play. They have ordered a cornhole set online. There is an 84% chance that the cornhole set will arrive in time for the party. If the cornhole set arrives in time, then Annie (who loves to play the game) will attend with a probability 0.95. In the event there is no cornhole, Annie will not attend Dan and Phil's party with a probability of 0.27. a) Represent this situation with a tree diagram. Label the parts clearly. b) What is the probability there is no cornhole? c) What is the probability Annie attends Dan and Phil's party? d) Given that Annie did attend the party, what is the probability there was cornhole at the party? e) Is whether Annie attends the party independent of whether there is cornhole? Mathematically justify your answer.
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