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 5 available condos for 1 of the areas, and 4 available condos for the other areas. There are 3 mountain destinations with 1 available condo for 2 of the areas, and 3 available condos for the other areas. A trip plan involves the selection of a destination, area, and a condo. First, draw out the tree diagram representing making these choices below:

Required:
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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akiran007 akiran007 · Answer 1 · 2021-02-13T09:05:33+01:00

Answer:

There are 14 outcomes in the sample space.

x= { x/x ∈ b, where b≠0 }

Step-by-step explanation:

The tree diagram is as follows

Sample Space

Margo→→→→Beach (b)→→→→→→→1 destination→→→→→→→5 condos 5

║ ║→→→→→→→→→→2 destination→→→→→→→→→4 condos 4

║

║→→→→→Mountain (m) →→→→→→→→1 destination→→→→→→ 1condo 1

║→→→→→→→→→→2 destination→→→→→ 1condo 1

║→→→→→→→→→→ 3destination→→→→→ 3 condos 3

Part a:

There are 14 outcomes in the sample space .

5+4+1+1+3= 14

Part b:

Margo picks a beach destination in set notation is

x= { x/x ∈ b, where b≠0 }

x such that x belongs to b ( beach destination) and b is not equal to zero.