Question

Nour and Rana are shopping for a Christmas tree. They are deciding between

2


22 different types of trees (real and fake) and


4


44 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.


Whose display correctly represents the sample space?

Answer 1

Sample Space:

1. (real, white)

2. (real, silver)

3. (real, gold)

4. (real, purple)

5. (fake, white)

6. (fake, silver)

7. (fake, gold)

8. (fake, purple)

Explanation:

Nour and Rana each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.

Whose display correctly represents the sample space?

We are not given their sample space but still you can compare the sample space you have with this one to find out whether it is correct or not.

There are 2 different types of Christmas trees

1. Real

2. Fake

There are 4 different types of colors for the ornaments

1. white

2. silver

3. gold

4. purple

The sample space is the set of all the possible outcomes of an experiment.

Then all of the possible outcomes are:

1. (real, white)

2. (real, silver)

3. (real, gold)

4. (real, purple)

5. (fake, white)

6. (fake, silver)

7. (fake, gold)

8. (fake, purple)

Therefore, there are total 8 possible outcomes.

Note: If your sample space matches with this one then it is correct otherwise it is not correct.