8. Pauline has heard on the news that there will be a comet passing near the Earth. The weatherman on the news reported that there is a 70% chance that the comet will be visible if the night sky is clear. If the night sky is not clear, there is only a 15% chance of being able to see the comet. He has also said that there is a 40% chance that the night sky will not be clear. a) If V is the event "the comet is visible" and C is the event "the night sky is clear", express the following probabilities as reduced fractions. i) P(C) ii) P(C') iii) P(V|C) iv) P(V|C') b) Using a tree diagram, determine the odds in favour of Pauline being able to see the comet.

8. Pauline has heard on the news that there will be a comet passing near the Earth. The weatherman on the news reported that there is a 70% chance that the comet will be visible if the night sky is clear. If the night sky is not clear, there is only a 15% chance of being able to see the comet. He has also said that there is a 40% chance that the night sky will not be clear. a) If V is the event "the comet is visible" and C is the event "the night sky is clear", express the following probabilities as reduced fractions. i) P(C) ii) P(C') iii) P(V|C) iv) P(V|C') b) Using a tree diagram, determine the odds in favour of Pauline being able to see the comet.

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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