Margo is planning a vacation. Assume that they have 2 possible destinations: beach or mountains. There are 2 vacation areas in the beach destination with 4 available condos for 1 of the areas, and 3 available condos for the other area. There are 4 mountain destinations with 1 available condo for 3 of the areas, and3 available condos for the other area. A trip plan involves the selection of a destination, area, and a condo. First, draw out the tree diagram representing making these choices below:

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Margo is planning a vacation. Assume that they have 2 possible destinations: beach or mountains. There are 2 vacation areas in the beach destination with 4 available condos for 1 of the areas, and 3 available condos for the other area. There are 4 mountain destinations with 1 available condo for 3 of the areas, and3 available condos for the other area. A trip plan involves the selection of a destination, area, and a condo. First, draw out the tree diagram representing making these choices below:

(a) How many outcomes are there in the sample space?

(b) Write out the event “Margo picks a beach destination” in set notation.

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