On each of three consecutive days the National Weather Service announces that there is an equal chance of rain or no rain.  Assuming that the National Weather Service is correct, answer the following questions to find the probability that it rains one of the three days. (Hint: Represent the outcome that it rains on day 1 and doesn’t rain on days 2 and 3 as RNN. A tree diagram can help you find the sample space.) How many  outcomes are in the sample space?  How many outcomes are in the event where it rains one of the three days?  What is the probability  that it rains on one of the three days?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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On each of three consecutive days the National Weather Service announces that there is an equal chance of rain or no rain.  Assuming that the National Weather Service is correct, answer the following questions to find the probability that it rains one of the three days. (Hint: Represent the outcome that it rains on day 1 and doesn’t rain on days 2 and 3 as RNN. A tree diagram can help you find the sample space.)

How many  outcomes are in the sample space? 

How many outcomes are in the event where it rains one of the three days? 

What is the probability  that it rains on one of the three days?

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